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continuation on page 229

Lecture Notes inMathematicsEdited by A Oold and B. Eckmann

609

General Topology and Its Relationsto Modern Analysis and Algebra IVProceedings of the FourthPrague Topological Symposium, 1976

Part Ii;. Invited Papers

Edited by J. Novak

SpringerVerlagBerlin Heidelberg NewYork 1977

EditorJosef NovakInstitute of Mathematicsof the CSAVZitna 2511567 Praha 1Czechoslovakia

Library or Congress Cataloging in Publication Data

Symposium on General Topology and Its Relations toModern Anal,ysis and Algebra, 4th, Prague, 1976.General topology and its relations to modern analysis

and algebra IV.

(Lecture notes in mathematics ; W9­Bibliograpby: r-Includes index.lXlNTENTS: pt. A. Invited papers.1. Topology-Congresses. 2. Msthematical.analysis-

Congresses. 3. Algebra-Congresses. I. Novak, Josef,1905- II. Title. III. Series. Lecture notesin mathematics (Berlin) ; W9.QAJ.L28 no. 609 cQA611] 510' .Ss c5J.1I1 .31 77-11622

AMS Subject Classifications (1970): 54-06,46-06,28-06

ISBN 3-540-08437-1 Springer-Verlag Berlin Heidelberg NewYorkISBN 0-387-08437-1 Springer-Verlag NewYork Heidelberg Berlin

This work is subject to copyright. All rights are reserved, whether the wholeor part of the material is concerned, specifically those of translation, re-printing, re-use of illustrations, broadcasting, reproduction by photocopyingmachine or similar means, and storage in data banks.

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© by Springer-Verlag Berlin Heidelberg 1977Printed in Germany

Printing and binding: Beltz Offsetdruck, HemsbachlBergstr.2141/3140-543210

PREFACE

Since 1961 every five years Prague topological symposium hasbeen held by the Czechoslovak Academy of Sciences. In August 1976the Fourth Symposium on General Topology and its Relations to ModernAnalysis and Algebra took place in Prague. Arrangements for the sym­posium were made by the Organizing Committee consisting of J.Novak(chairman), Z.Frolik (program chairman), J.Hejcman, M.Husek, M.Kate­tov, V.Koutnik, V.Ptak, A.Razek (treasurer), M.Sekanina, S.Schwarz,and V.Trnkova. The Czechoslovak Academy of Sciences, the Slovak Aca­demy of Sciences, the Faculty of Mathematics and Physics of theCharles University, and the Association of Czechoslovak Mathematici­ans and Physicists invited a number of prominent mathematicians fromabroad. The International Mathematical Union granted financial sup­port towards the travel expenses of some young mathematicians fromabroad. r would like to thank the International Mathematical Unionfor all the support given to Prague topological symposia.

The program of the symposium consisted of 11 plenary invitedtalks, 18 invited talks given in two sections, 1 invited talk in asession for contributed papers and 134 fifteen­minute talks in threeor four parallel sessions.

The symposium was attended by 217 mathematicians from 24 coun­tries; 164 from abroad and 53 from Czechoslovakia.

These Proceedings of the symposium are published in two partsA and B. Part A, published by Springer­Verlag, contains 19 invitedpapers. Part B, pUblished by the Association of Czechoslovak Mathe­maticians and Physicists, contains 105 abstracts and contributedpapers.

r would like to thank the referees who read the manuscript.Special thanks are due to Z.Frolik, M.Katetov, V.Koutnik and V.Ptakfor their assistance in editing these Proceedings.

LIST OF PARTICIPANTS

J.Albrycht (Poznan), A.Alexiewicz (Poznan), R.D.Anderson (Baton Rou­ge), A.V•Arhangel,skU (Moskva), S.P.Arya (New Delhi), M..Atsuji (Sai­tama) , P.C.Baayen (Amsterdam), F.Bagi(Budapest), Z.Balogh (Debrecen),B.Banaschewski (Hamilton), V.Bartik (Praha), C.Behlivanidis (Athens),D.P.Bellamy (Newark), C.Bessaga (Warszawa), E.Binz (Mannheim),A.B;l'aszczyk (Katowice), J •Bockova (Praha), S.A.Bogatyj (Moskva),M.Bognar (Budapest), H.Boseck (Greifswald), H.Brandenburg (Berlin),L.BukovskY (Kosice), D.W.Bushaw (Pullman), T.Byczkowski (Wroc;l'aw),Z.Cerin (Zagreb), J.Chaber (Warszawa), T.A.Chapman (Lexington),M.G.Charalambous (Zaria), J.J.Charatonik (Wroc;l'aw), G.Chogoshvili(Tbilisi), J.Chvalina (Brno), J.Cincura (Bratislava), W.W.Comfort(Middletown), A.Csaszar (Budapest), K.Csaszar (Budapest), I.Dimitrov(Sofia), I.Dobrakov (Bratislava), D.Doitchinov (Sofia), L.Dokas (Pat­ras), R.Domiaty (Graz), E.K.van Douwen (Athens), J.DraveckY (Brati ­slava), M.Duchon (Bratislava), J.Durdil (Praha), R.D,yckhoff (Fife),Z.Dzedzej (Gdansk), M.Fabian (Praha), M.Fiedler (Praha), H.R.Fischer(Amherst), J.Flachsmeyer (Greifswald), W.Fleissner (Montreal­Athens),R.Fox (London), R.Fric Z.Frolik (Praha), S.GSbler (Berlin),W.GSbler (Berlin), J.Gerlits (Budapest), G.Gierz (Darmstadt),W.Glowczynski (Gdansk), W.Govaerts (Brussel), G.Grimeisen (Stuttgart),G.Gruenhage (Auburn), N.Hadjiivanov (Sofia), D.W.Hajek (Mayaguez),P.Hamburger (BUdapest), K.Hardy (Ottawa), S.Heinrich (Berlin),J.Hejcman (Praha), N.Helderman (Berlin), M.Henriksen (Claremont),P.Hilton (Seattle), P.HolickY (Praha), T.Hoshina (Ibaraki), M.Husek(Praha), H.Husova (Praha), S.Iliadis (Patras), A.A.Ivanov (Leningrad),I.Ivansic (Zagreb), A.Iwanik (Wroctaw), J.E.Jayne (London), T.M.Jed­r,yka (Bydgoszcz), K.John (Praha), B.E.Johnson (Newcastle), I.Juhasz(BUdapest), A.Kartsaklis (Athens), M.Katetov (Praha), F.Katrnoska(Praha), Y.Katuta (Ibaraki), S.Kaul (Regina), K.Keimel (Darmstadt),D.C.Kent (Pullman), G.Kneis (Berlin), P.A.Kolmus (Paris), J.Komornik(Bratislava), V.Korinek (Praha), V.Koutnik (Praha), J.Krasinkiewicz(Warszawa), P.Kratochvil (Praha), P.B.Krikelis (Athens), P.Krivka(Pardubice), A.Kucia (Katowice), W.Kulpa (Katowice),K.Kuratowski(Warszawa), (Beograd), (Praha), V.I.Kuz'minov (No­v;osibirsk), O.V.Lokucievskij (Moskva), R.Lowen (Brussel), E.Lowen­Colebunders (Brussel), J.Lukes (Praha), B.Luschow (Berlin), T.Macko­wiak (Wroctaw), G.de Marco (Padova), S.Mardesic (Zagreb), I.Marek(Praha), M.Marjanovic (Beograd), A.Marquina (Valencia), G.Meletiou

VI

(Arta), J.van Mill (Amsterdam), P.Minc (Warszawa), J.Mioduszewski(Katowice), L.Misik (Bratislava), M.W.Mislove (New Orleans), J.Moc­kor (Ostrava), B.Morrel (Amsterdam), B.MUller (Mannheim), KoMusiat(Wroctaw), J.Musielak (Poznan), A.Mysior (Gdansk), J.Nagata (Amster­dam), Z.Nagy (Budapest), S.A.Naimpally (Thunder Bay), S.J.Nedev (So­fia), S.Negrepontis (Athens), L.D.Nel (Ottawa), E.Nelson (Hamilton),JoNesetril (Praha), T.Neubrunn (Bratislava), J.Novak (Praha),P.J.Nyikos (Urbana), J.Pachl (Praha), CoM.Pareek (Kuwait), H.L.Pat­kowska (Werszawa), A.Patronis (Athens), J.Pechanec (Praha), J.Pe­lant (Praha), A.Pietsch (Jena), R.Pol (Warszawa), H.Poppe (Wustrow),H.Porst (Bremen), D.Preiss (Praha), G.Preuss (Berlin), T.Priftis(Peania), IoProdanov (Sofia), P.Ptak (Praha), V.Ptak (Praha),A.Pultr (Praha), S.Purisch (Ibadan), HoPust (Berlin), M.Rajagopalan(Memphis), B.el Rayess (Pr8ha), G.M.Reed (Athens), H.C.Reichel (Wien),J.Reiterman (Praha), M.D.Rice (Fairfax), B.Riecan (Bratislava),J.R.Ringrose (Newcastle), J.Roitman (Wellesley), J.RosickY (Brno),M.E.Rudin (Madison), S.S.Ryskov (Moskva), (Moskva),J.Schmets A.Schrijver (Amsterdam), J.SchrOder (Berlin),J.Segal (Seattle), M.Sekanina (Brno), MoSeyedin (Tehran), P.Simon(Praha), (Bratislava), J.MoSmirnov (Moskva), M.Smith (Auburn),

(Riga), P.Stavrinos (Athens), A.H.Stone (Rochester), D.Maha­ram Stone (Rochester), (Novosibirsk), BoSzokefalvi­Nagy(Szeged), A.Szymanski (Katowice), R.Talamo (Torino), F.D.TAII (Toron­to), G.Tashjian (Hamilton), R.Telgarsky (Wroctaw), FoTerpe (Greifs­wald), W.J.Thron (Boulder), H.Torunczyk (Warszawa), A.Triantafillou(Athens), V.Trnkova (Praha), M.Turzanski (Katowice), L.Vasak (Praha),J .E.Vaughan (Greensboro), M.L.van de Vel (Amsterdam), M.Venkataraman(Madurai), J.VilimovskY (Praha), R.Voreadou (Athens), J.de Vr,ies(Amsterdam), M.Wage (New Haven ­ Madison), A.Waszak (Poznan),E.Wattel (Amsterdam), W.Weiss (Budapest), K.Wichterle (Praha),H.H.Wicke (Athens), M.Wilhelm (Wroctaw), S.Willard (Edmonton), R.Wil­son (Mexico), J .M.van Wouwe (Amsterdam), M.Zahradnik (Praha), AoZa­nardo (Padova), A.V.Zarelua (Tbilisi), D.Zaremba (Wroctaw), J.Zema­nek (Praha), PoZenor (Auburn), S.P.Zervos (Athens), VoZizler (Praha)

Anderson,R.D.

Arhangel'skiI,A.V.

LIST OF INVITED ADDRESSES

Group actions on Hilbert cube mani­foldsSome recent results on cardinal­­valued invariants of bicompact Haus­dorff spaces

Bessaga,C.: Bessaga,C. andDobrowolski,T.

Chapman,T.A.

Comt'ort,W.W.

Csaszar,A.Dobrowolski,T.: Bessaga,Coand Dobrowolski,T.

Van Douwen,E.K.Efremovic,V.A.: Efremovic,V.A.and Valnste1n,A.Go

Flachsmeyer,JoFrolik,Z.

Hilton,P.Husek,Mo: Husek,M. andTrnkova,V.

Johnson,B.E.Juhasz,I.Kuratowski,K.

lIardeaie,S.Nagata,J.

Deleting formulas for topologicalvector spaces and groups (Presentedby C.Bessaga)On an extension of Pontryagin'sduality TheoryHomotopy conditions which cha­racterize simple homotopy equivalen­cesSome recent applications of ultra­filters to topologySome problems concerning C(X)

Deleting formulas for topologicalvector spaces and groups (Presentedby C.Bessaga)A technique for constructing examples

Novye rezultaty v ravnomernoi topo­logii (Presented by O.V.Lokucievskij)Topologization of Boolean algebrasRecent development of theory of uni­form spacesOn generalizations of shape theory

Categorial aspects are useful intopologyPerturbations of Banach algebrasOn the number of open sets6 ­algebra generated by analyticsets and applicationsRecent development of shape theoryOn rings of continuous functions

Negrepontis,S.

Pelant,J.

Pietsch,A.

PtSk,V.Raj agopalan,M.

Ringrose,J .Ro

RUdin,M.E.

Smirnov,JoM.

Stone,A.H.Stone,D. MaharamSzokefalvi-Nagy,B.

TrnkOV8,V.: Huaek,Mo andTrnkov8,V.

Vainstein,A.G.: Efremovic,V.A.and Va!nste!n,A.G.

VIII

Applications of Erdos-Rado inter-section relations in the embedding of-4 <T' to Banach spaces

Combinatorial properties of uni-formitiesEntropy numbers of operators in

Banach spacesNondiscrete mathematical inductionThe V-process and a problem ofV.Kannan and A.V.Arhangelskii on com-pact c-spacesDerivations of quotients of von Neu-mann algebrasSet theoretic problems in topologyOn uncountable inverse spectraSome topological aspects in thetheory of topological transformationgroupsMeasure-preserving mapsMeasure, category and Boolean spacesSome properties of the function

00algebra H

Categorial are uSeful intopology

Novye rezultaty v ravnomernol topo-logii (Presented by O.VoLokucievskij)

LIST OF COMMUNICATIONS

Aarts,J.M.: Aarts,J.M.and Lowen-Colebunders,E.

Alexiewicz,A.Alster,K.: Alster,K.and Zenor,P.

Anantharaman ,R. :Anantharaman,R. andNaimpally,S.A.

Arya,S.P.Atsuji,M.Baayen,P.C.Balogh,Z.

Banaschewski,B.Bellamy,D.P.

BXaszczyk,A.

Bogatyj,S.A.

Bognar,M.Boseck,H.: Boseck,H.and Czichowski,a.

Byczkowski,T.

Chaber,J.Charalambous,M.G.

Charatonik,J.J.

On an example of Mary Ellen (Estill) Rudin(Presented by E.Lowen-Cclebunders)Two-norm algebras

Preservation of the Lindelof property in

product spaces (Presented by P.Zenor)

Equicontinuity, nonexpansiveness and uni-form boundedness (Presented by S.A.Naim-pally)On a theorem of Michael-Morita-HanaiOn normality of the product of two spacesMaximal linked systems in topologyRelative compactness and recent commongeneralizations of metric and locally com-pact spacesSheaves of Banach spacesIndecomposable continua with one and twocomposantsOn a factorization lemma and a constructionof absolute without separation axiomsOn preservation of fixed point property bycontinuous mappingsOn locally ordered spaces

Structure of connected locally compactgroups (Presented by H.Boseck)On closed graph and open mappingstheoremsHomotopy theory at 00 and the theory ofshapeOnA note on the dimension of productsProblems and remarks on contractibility ofcurves

Chattopadhyay,K.C.:Chattopadhyay,K.C. andihron,W.Jo

Chvalina,Jo

Nedev,S.J.and ban,M.M.,

Csaszar,K.Czichowski,G. :Boseck,H. andCzichowski, G.

Dobrakov, I.

Doitchinov,D.Domiaty,R.Z.

Durdil,J.

Dyckhoff, R.Fabian,M.

Flachsmeyer,Jo:Flachsmeyer,J. andTerpe,F.

Fleissner,W.G.Fric,R.: Fric,R. andKoutn1k, V.

Gahler,S.G6hler,W.Gerlits,JoGi.erz, G.: Gierz, G. andKeimel, K.

Govaerts, W.

x

Extensions of closure spaces (Presented Qy

W.J.Thron)set transformations with centralizers formedby closed deformations of quasi-discretetopological spaces

Odno prilozenie faktorizacionnych teoremdlja mnogoznacnych (Presented byS.J.Nedev)Separat.ion and connectedness

Structure of connected locally compact groups(Presented by H.Boseck)Products of operator valued measures andthe Fubini theoremThe notion of X -shapeRemarks to the problem of defining a topologyby its homeomorphism groupOn the geometric characterization ofdifferentiabilityTopology in a spatial toposOn singlevaluedness and continuity of mono-tone mappings

On convergence structures in the space ofsummations (Presented by F.Terpe)Box products of Baire spaces

Sequentially complete spaces (Presented byRoFric)On topological vector spacesOn limit spaces and limit-uniform spacesOn dyadic and ;L-adic spaces

A lemma on primes appearing in algebra andanalysis (Presented by G.Gierz)Categories of continuous function spaces

XI

A lemma on primes appearing in algebra andanalysis (Presented by G.Gierz)

Some product theorems for convergence spaces(Presented by D.C.Kent)

Katetov,M.Katuta,Y.

Kartsaklis,A.

Iliadis, S.

Grimeisen, G.

Kaul, S.K.

Ivanov, A.A.Ivansic, I.Iwanik,A.

Hajek,D.W.

Hejcman,J.Henriksen,M.

Hadjiivanov,N.

Hoshina,T.

Hamburger,P.Heinrich, S.

Jayne,J.E.

HolickY,P.

Kent,D.C.: Kent,D.C.and Richardson,G.D.

Keimel, K.Keimel,K.: Gierz,G.and Keimel,Ko

The limit inferior of a filteredas a set of limit pointso razmernosti metriceskich i kompaktnychprostranstvWallman extendible functions with normaldomainsA generalization of uniform open basisLinear-topological properties of operatorspacesCovering dimensions and partitions of unitySpaces that have a compactification with acountable remainderOn a characterization of completely additivefamiliesCompactifications by adding a countablenumber of pointso nepodviznych tockach pri nekotorych otobra-zenijach kompaktovFixed point theorems of metric space mappingsEmbedding compacta up to shapeOn two-sided nonsingular transformations ofBorel spacesAnalytic sets of extreme points of closedconvex' sets

Jeschek,F.: Jeschek,F.,Poppe,H. and Stark,A. A compactness criterion for the space of al-

most periodic functions (Presented by a.Poppe)Topological considerations in the foundationsof quantum mechanics and apace-time theoriesDescriptive complexity of functionsMonotone increasing covers and paracompact-nessRegularity: A generalization of equicon-tinuityOn structure spaces of vector lattices

Kneis,G.

Koutnik,V.: Fric,R. andKoutnik,V.

Kratochvil,P'.KUlpa,W.

Kurepa,D.Kllrkova,V.Kuz'minov,V.I.: Kuz'minov,V.I.and §vedov,I.A.

Lokucievskij, a.v.

Lowen,R.

Lowen-Colebunders,E.:Aarts,J .M. and Lowen--Colebunders,E.

LuSChow,R.B.

Mackowiak, T•Marek, I.

Marjanovic,M.

Meletiou,G.

Van Mill,J.Minc,P.Mioduszewski,J.

Mislove,M.W.

Mockor,J.

XII

theorem of Arzela-Ascoli inpseudo-uniform spaces

Sequentially complete spaces (Present-ed by R.Fric)MUltisequences and measure theor,yOn decomposition into no where densesetsOn monotone mappings of ordered setsFine and simply fine uniform spaces

a gomologicesko1 razmernosti Bredonanasledstvenno parakompaktnych pro-stanstv (Presented by V.I.Kuz'minov)Axiomatic definition of the dimensionfor bicompactaConvergence in the lattice of lowersemicontinuous functions

On an example of Mary Ellen (Estill)Rudin (Presented by E.Lowen--Colebunders)Some topological properties of8M-spacesPlanable and smooth dendroidsFredholm points of compactly per-turbed bounded linear operatorsSome considerations related tohyperspacesFamilies of "partially coinciding"topologiesRecent results on superextensionsLocal connectedness and fixed pointsCompact Hausdorff spaces with twoopen setsThe maximal ideal space of themeasure algebra of certain semi-groupsTopological groups of divisibility

MUller,B.

Musiat,K.

Musielak,Jo

MUsielak,J.: Musielak,Joand Waszak,A.

Mysior,Ao

Nagy,Z.

Naimpally,S.A. :Julantharaman,R. andNaimpally,S.A.

Nedev,S.J.: Nedev,S.J.and Coban,MoM.

Nel,L.D.

Nelson,E.

Nesetfil,J.: Nesetfil,J.and Rodl,V.

Neubrunn,T.

Novak,J.

Nyikos,P.J.

Pareek,C.M.

Patkowska,H.

Xltl

T) - completions of convergence vectorspacesThe weak Radon-Nikodym property in BanachspacesAn application of modular spaces tointegral equations

Some problems of convergence in eountablymodulared spaces (Presented by J.Musielak)The category of all zero-dimensional real-compact spaces is not simpleOn countably compact, locally countablespaces

Equicontinuity, nonexpansiveness and uni-form boundedness (Presented by S.A.Naim-pally)

Odno prilozenie faktorizacionnych teoremdlja mnogoznacnych otobrazeni! (Presentedby S.J.Nedev)SUbcategories with cartesian closed co-reflective hullsAlgebras of continuous functions in

universal algebra

Some topological Ramsey-type problems(Presented by J.Nesetfil)Separate continuity and continuity for somegeneralized continuity notionsConcerning the Cartesian product of twoFrechet spacesCountable small rank and cardinal in-variants

On dense subspaces of stratifiable andsemi-stratifiable spacesA class OV and compacta which are quasi--homeomorphic with surfaces

Patronis,A.: Stavrinos,P.and Patronis,A.

Pelant,J.: Pelant,J.and Reiterman,J.

Pol,E.: Pol,R. andPol,E.

Pol,R.: Pol,R. andPol,E.

Poppe,H.: Jeschek,F.,Poppe,H. and Stark,A.

Porst,H.E.Preuss,G.

Prodanov,I.Pt:8k,P.

Reed,G.M.

Reichel,H.C.Reiterman,J.: Pelant,J.and Reiterman,J.

Rice,M.D.Riecan,B.

Richardson,G.D.: Kent,n.C.and Richardson,G.D.

XIV

On hyperspace of continuous curves andcontinuous hyperspaces of any order(Presented by P.Stavrinos)

Atoms in uniformities and proximities(Presented by J.Pelant)

A hereditarily normal strongly zero­­dimensional space containing subspacesof arbitrarily large dimension (Presentedby R.Pol)

A hereditarily normal strongly zero­­dimensional space containing sUbspacesof arbitrarily large dimension (Presentedby R.Pol)

A compactness criterion for the space ofalmost periodic functions (Presented byH.Poppe)Embeddable spaces and dualityRelative connectedness and disconnected­ness in topological categoriesMinimal topologies on Abelian groupsRefinements of uniform spaces associatedwith discretenessConsistency and independence results inMoore spacesSome results on distance­functions

Atoms in uniformities and proximities(Presented by J.Pelant)Descriptive sets in uniform spacesExtension of measures and integrals bythe help of a pseudometric

Some product theorems for convergencespaces (Presented by D.C.Kent)

Radl,V.:and ROdl, V.

Roitman,J.

RosickY,J.

Ryskov,S.S.Schmets,J.

Schrijver,A.SchrOder,JoSegal,J.

Sekanina,M.Seyedin,M.Silnon,P.

Stark,A.: Jeschek,F.,Poppe,H. and Stark,A.

Stavrinos,P.: Stavrinos,P.and Patronis,A.

!§vedov,I.A.: Kuz'minov,V.I.and

Szymanski,A.

'.lalamo,A.T:all,F.D.

'lashjian,G.

'1!'elgarsky, R.

xv

Some topological Ramsey-type problems(Presented by J.Nesetril)Some topological effects of random andCohen realsLiftings of functors in topologicalsituationso centrirovkach mnogomernych resetokOn spaces of vector-valued continuousfunctionsCharacterizations of supercompact spacesWallman's method (Das Wallman-Verfahren)Local behavior in shape theory

Topologies on 2X

On quasi-uniform convergenceUniform atoms on 4)

A class of spaces which contains allconnected and compact spaces

A compactness criterion for the space ofalmost periodic functions (Presented byH.Poppe)

On hyperspace of continuous curves andcontinuous hypersurfaces of any order(Presented by P.Stavrinos)Ob ocenke metriceskol razmernosti

o gomologiceskol razmernosti Bredona na-sledstvenno parakompaktnych prostranstv(Presented by V.I.Kuz'minov)

P-points in (dttJ - aJ lilIlder some weakadditional set-theoretic assumptionsExtensions and structuresSome topological applications of a

Martin's axiomExponential operations in coreflectiveSUbcategories of Tych and UnifOn some topological games

Terpe,F.: Flachsmeyer,J.and 1rerpe,F.

Thron,W.J.: Chattopad­hyay,K.C. and Thron,W.J.

Vaughan, J.E.Van de 'Wel,M.

Venkataraman,M.

Vilimovs!tY,Jo

De Vries,J.Wage,M.L.Waszak,A.: Musielak,J.and Waszak, A.

Wattel,E.Weiss,W.Wichterle,K.

Wicke,H.H.: Wicke,H.H.and Worell,J.M.,Jro

Wilhelm,M.Worell,J.M.,Jr.: Wicke,H.H.and Worell,J.M.,Jr.

Van Wouwe,JoM.Zahradnik, M.Zarelua,A.

Zaremba,D.Zemanek,J.

Zenor,p.: Alster,K. andZenor,P.

XVI

On convergence structures in the spacesummations (Presented by F.Terpe)

Extensions of closure spaces (Presentedby W.J.'rhron)Products of [a,b] ­chain compact spacesThe fixed point property of super­extensionsOn topological invariants of topo­logical spacesExtensions of uniformly continuousBanach valued mappingsEmbeddings of G­spacesOn a problem of Katetov

Some problems of convergence incountably modulared spaces (Presentedby J.Musielak)Subbase structures in nearness spacesSome connected problems

convergence in function spaces.Order of W­closures

Scattered spaces of point­countabletype (Presented byOn clo5ed graph theorems

Scattered spaces of point­countabletype (Presented by H.H.Wicke)Generalized ordered p­spacesJI­parti tions of unity on normed spacesOn zero­dimensional mappings and com­mutative algebraOn cohesive mappingsOn the spectral radius in Banachalgebras

Preservation of the Lindelof propertyin product spaces (Presented by

P.Zenor)

CONTENTS

Binz, E. : On an ext ension of Pontryagin's duality theoryCarl,B. and Pietsch,A.: Entropy numbers of operators in

Banach spacesComfort,W.W.: Some recent applications of ultrafilters

to topologyCsaszar,.!.: Some problems concerning C(X)Deleanu,A. and Hilton,P.: Generalized shape theoryEfremovic,V.Ao and Varnstelll,AoG.: New results in uniform

topologyFlachsmeyer,J.: Topologization of Boolean algebrasFrolik,Z.: Recent development of theory of uniform spacesJohnson,B.Eo: Stability of Banach algebrasJuhasz,Io: Two set-theoretic problems in topologyMaharam,D.: Category, Boolean algebras and measureNagata,J.: On rings of continuous functionsPelant,J.: Combinatorial properties of uniformitiesptak,V.: Nondiscrete mathematical inductionRajagopalan,M.: Compact C-spaces and S-spacesRudin,M.E.: A narrow view of set theoretic topologySmirnov,Ju.Mo: Some topological aspects of the theory of

topological transformation groupsStone,AoH.: Measure-preserving mapsTrnkova,V.: Categoria1 aspects are useful for topology

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