4th Prague Topological Symposium

(August 23 - 27, 1976)

Fourth Symposium on General Topology and its Relations to Modern Analysis and Algebra

was organized by Mathematical Institute of Czechoslovak Academy of Sciences with a support of the International Mathematical Union in cooperation with:
Slovak Academy of Sciences,
Faculty of Mathematics and Physics of Charles University,
Association of Czechoslovak Mathematicians and Physicists.
Organizing committee:
J. Novák (chairman)
Z. Frolík
J. Hejcman
M. Hušek
M. Katětov
V. Koutník
V. Pták
A. Rázek (treasurer)
S. Schwarz
M. Sekanina
V. Trnková
The Symposium was attended by 217 mathematicians from 24 countries (in that number 53 from Czechoslovakia).

The program consisted of 30 invited talks (11 plenary, 18 semiplenary, 1 in a session for contributed papers), and 135 fifteen minute talks in three or four parallel sessions.

The proceedings of the symposium are published in two parts A and B, both titled General Topology and its Relations to Modern Analysis and Algebra IV, Proceedings of the Fourth Prague Topological Symposium 1976. Part A, published by Springer-Verlag, contains 19 invited papers. Part B, published by Association of Czechoslovak Mathematicians and Physicists, contains 98 contributed papers, 5 abstracts of invited talks and problems of K. Borsuk and of K. Morita.

List of participants

List of countries

In the following list one can find numbers of participants from corresponding countries (the names of countries are given in their shorter non-official form)
Czechoslovakia 55
Poland, USA 30
Germany (East 8, West 11) 19
Canada, USSR 12
Hungary, Greece 11
Netherlands 9
Bulgaria, United Kingdom, Yugoslavia 5
Belgium 4
Italy, Japan 3
Austria, India 2
France, Iran, Kuwait, Mexico, Nigeria, Spain 1

List of invited addresses
Anderson R. D. Group actions on Hilbert cube manifolds.
Arhangel'skii A. V. Some recent results on cardinal-valued invariants of bicompact Hausdorff spaces.
Bessaga C., Dobrowolski T. Deleting formulas for topological vector spaces and groups (Presented by C. Bessaga).
Binz E. On an extension of Pontryagin's duality Theory.
Chapman T. A. Homotopy conditions which characterize simple homotopy equivalences.
Comfort W. W. Some recent applications of ultrafilters to topology.
Császár Á. Some problems concerning C(X).
Van Douwen E. K. A technique for constructing examples.
Efremovič V. A., Vainštein A. G. Novye rezultaty v ravnomernoi topologii (Presented by O. V. Lokucievskij).
Flachsmeyer J. Topologization of Boolean algebras.
Frolík Z. Recent development of theory of uniform spaces.
Hilton P. On generalizations of shape theory.
Hušek M., Trnková V. Categorial aspects are useful in topology.
Johnson B. E. Perturbations of Banach algebras.
Juhász I. On the number of open sets.
Kuratowski K. \sigma-algebra generated by analytic sets and applications.
Mardešić S. Recent development of shape theory.
Nagata J. On rings of continuous functions.
Negrepontis S. Applications of Erdös-Rado intersection relations in the embedding of l_1 (\gama) to Banach spaces.
Pelant J. Combinatorial properties of uniformities.
Pietsch A. Entropy numbers of operators in Banach spaces.
Pták V. Nondiscrete mathematical induction.
Rajagopalan M. The V-process and a problem of V. Kannan and A. V. Arhangelskii on compact c-spaces.
Ringrose J. R. Derivations of quotients of von Neumann algebras.
Rudin M. E. Set theoretic problems in topology.
Ščepin E. V. On uncountable inverse spectra.
Smirnov J. M. Some topological aspects in the theory of topological transformation groups.
Stone A. H. Measure-preserving maps.
Stone D. Maharam Measure, category and Boolean spaces.
Szökefalvi-Nagy B. Some properties of the function algebra H^\infinite.

List of communications
Aarts J. M., Lowen-Colebunders E. On an example of Mary Ellen (Estill) Rudin. (Presented by E. Lowen-Colebunders.)
Alexiewicz A. Two-norm algebras.
Alster K., Zenor P. Preservation of the Lindelöf property in product spaces. (Presented by P. Zenor.)
Anantharaman R., Naimpally S. A. Equicontinuity, nonexpansiveness snd uniform boundedness (Presented by S.A. Naimpally.)
Arya S. P. On a theorem of Michael-Morita-Hanai.
Atsuji M. On normality of the product of two spaces.
Baayen P. C. Maximal linked systems in topology.
Balogh Z. Relative compactness and recent common generalizations of metric and locally compact spaces.
Banaschewski B. Sheaves of Banach spaces.
Bellamy D. P. Indecomposable continua with one and two composants.
Blaszczyk A. On a factorization lemma and a construction of absolute without separation axioms.
Bogatyj S. A. On preservation of fixed point property by continuous mappings.
Bognár M. On locally ordered spaces.
Boseck H., Czichowski G. Structure of connected locally compact groups. (Presented by H. Boseck.)
Byczkowski T. On closed graph and open mappings theorems.
Čerin Z. Homotopy theory at \omega and the theory of shape.
Chaber J. On \theta-refinability.
Charalambous M. G. A note on the dimension of products.
Charatonik J. J. Problems and remarks on contractibility of curves.
Chattopadhyay K. C., Thron W. J. Extensions of closure spaces. (Presented by W.J. Thron.)
Chvalina J. Set transformations with centralizers formed by closed deformations of quasi-discrete topological spaces.
Čoban M. M., Nedev S. J. Odno priloženie faktorizacionnych teorem dlja mnogoznačnych otobraženii. (Presented by S.J. Nedev.)
Császár K. Separation and connectedness.
Boseck F., Czichowski G. Structure of connected locally compact groups. (Presented by H. Boseck.)
Dobrakov I. Products of operator valued measures and the Fubini theorem.
Doitchinov D. The notion of K-shape.
Domiaty R. Z. Remarks to the problem of defining a topology by its homeomorphism group.
Durdil J. On the geometric characterization of differentiability.
Dyckhoff R. Topology in a spatial topos.
Fabian M. On singlevaluedness and continuity of monotone mappings.
Flachsmeyer J., Terpe F. On convergence structures in the space of summations. (Presented by F. Terpe.)
Fleissner W. G. Box products of Baire spaces.
Frič R., Koutnlk V. Sequentially complete spaces. (Presented by R. Frič.)
Gähler S. On generalized topological vector spaces.
Gähler W. On limit spaces and limit-uniform spaces.
Gerlits J. On dyadic and \lambda-adic spaces.
Gierz G., Keimel K. A lemma on primes appearing in algebra and analysis. (Presented by G. Gierz.)
Govaerts W. Categories of continuous function apaces.
Grimeisen G. The limit inferior of a filtered set-family as a set of limit points.
Hadjiivanov N. O razmernosti metričeskich i kompaktnych prostranstv.
Hajek D. W. Wallman extendible functions with normal domains.
Hamburger P. A generalization of uniform open basis.
Heinrich S. Linear-topological properties of operator spaces.
Hejcman J. Covering dimensions and partitions of unity.
Henriksen M. Spaces that haue a compactification with a countable remainder.
Holický P. On a characterization of completely additive families.
Hoshina T. Compactifications by adding a countable number of points.
Iliadis S. O nepodvižnych točkach pri nekotorych otobraženijach kompaktov.
Ivanov A. A. Fixed point theorems of metric space mappings.
Ivanšić I. Embedding compacta up to shape.
Iwanik A. On two-sided nonsingular transformations of Borel spaces.
Jayne J. E. Analytic sets of extreme points of closed convex sets.
Jeschek F., Poppe H., Stärk A. A compactness criterion for the space of almost periodic functions. (Presented by H. Poppe.)
Kartsaklis A. Topological considerations in the foundations of quantum mechanics and space-time theories.
Katětov M. Descriptive complexity of functions.
Katuta Y. Monotone increasing covers and paracompactness.
Kaul S. K. Regularity: A generalization of equicontinuity.
Keimel K. On structure spaces of vector lattices.
Keimel K., Gierz G. A lemma on primes appearing in algebra and analysis. (Presented by G. Gierz.)
Kent D. C., Richardson G. D. Some product theorems for convergence spaces. (Presented by D.C. Kent.)
Kneis G. The theorem of Arzela-Ascoli in pseudo-uniform spaces.
Koutník V., Frič R. Sequentially complete spaces. (Presented by R. Frič.)
Kratochvíl P. Multisequences and measure theory.
Kulpa W. On decomposition into no where dense sets.
Kurepa D. On monotone mappings of ordered sets.
Kůrková V. Fine and simply fine uniform spaces.
Kuz'minov V. I., Švedov I. A. O gomologičeskoi razmernosti Bredona nasledstvenno parakompaktnych prostranstv. (Presented by V.I. Kuz'minov.)
Lokucievskij O. V. Axiomatic definition of the dimension for bicompacta.
Lowen R. Convergence in the lattice of lower semicontinuous functions.
Lowen-Colebunders E., Aarts J. M. On an example of Mary Ellen (Estill) Rudin. (Presented by E. Lowen-Colebunders.)
Lüschow R. B. Some topological properties of SM-spaces.
Maćkowiak T. Planable and smooth dendroids.
Marek I. Fredholm points of compactly perturbed bounded linear operators.
Marjanović M. Some considerations related to hyperspaces.
Meletiou G. Families of "partially coinciding" topologies.
Van Mill J. Recent results on superextensions.
Minc P. Local connectedness and fixed points.
Mioduszewski J. Compact Hausdorff spaces with two open sets.
Mislove M. W. The maximal ideal space of the measure algebra of certain semigroups.
Močkoř J. Topological groups of divisibility.
Müller B. T_3
Musiał K. The weak Radon-Nikodym property in Banach spaces.
Musielak J. An application of modular spaces to integral equations.
Musielak J., Waszak A. Some problems of convergence in countably modulared spaces. (Presented by J. Musielak.)
Mysior A. The category of all zero-dimensional realcompact spaces is not simple.
Nagy Z. On countably compact, locally countable spaces.
Naimpally S. A., Anantharaman R. Equicontinuity, nonexpansiveness and uniform boundedness. (Presented by S.A. Naimpally.)
Nedev S. J., Čoban M. M. Odno priloženie faktorizacionmych teorem dlja mnogoznačnych otobraženii. (Presented by S.J. Nedev.)
Nel L. D. Subcategories with cartesian closed coreflective hulls.
Nelson E. Algebras of continuous functions in universal algebra.
Nešetřil J., Rödl V. Some topological Ramsey-type problems. (Presented by J. Nešetřil.)
Neubrunn T. Separate continuity and continuity for some generalized continuity notions.
Novák J. Concerning the Cartesian product of two Fréchet spaces.
Nyikos P. J. Countable small rank and cardinal invariants.
Pareek C. M. On dense subspaces of stratifiable and semi-stratifiable spaces.
Patkowska H. A class \alpha and compacta which are quasi-homeomorphic with surfaces.
Patronis A., Stavrinos P. On hyperspace of continuous curves and continuous hyperspaces of any order. (Presented by P. Stavrinos.)
Pelant J., Reiterman J. Atoms in uniformities and proximities. (Presented by J. Pelant.)
Pol E., Pol R. A hereditarily normal strongly zero-dimensional space containing subspaces of arbitrarily large dimension. (Presented by R. Pol.)
Pol R., Pol E. A hereditarily normal strongly zero-dimensional space containing subspaces of arbitrarily large dimension. (Presented by R. Pol.)
Poppe H., Jeschek F., Stärk A. A compactness criterion for the space of almost periodic functions. (Presented by H. Poppe.)
Porst H. E. Embeddable spaces and duality.
Preuss G. Relative connectedness and disconnectedness in topological categories.
Prodanov I. Minimal topologies on Abelian groups.
Pták P. Refinements of uniform spaces associated with discreteness.
Reed G. M. Consistency and independence results in Moore spaces.
Reichel H. C. Some results on distance-functions.
Reiterman J., Pelant J. Atoms in uniformities and proximities. (Presented by J. Pelant.)
Rice M. D. Descriptive sets in uniform spaces.
Riečan B. Extension of measures and integrals by the help of a pseudometric.
Richardson G. D., Kent D. C. Some product theorems for convergence spaces. (Presented by D.C. Kent.)
Rödl V., Nešetřil J. Some topological Ramsey-type problems. (Presented by J. Nešetřil.)
Roitman J. Some topological effects of random and Cohen reals.
Rosický J. Liftings of functors in topological situations.
Ryškov S. S. O centrirovkach mnogomernych rešetok.
Schmets J. On spaces of vector-valued continuous functions.
Schrijver A. Characterizations of supercompact spaces.
Schröder J. Wallman's method (Das Wallman-Verfahren).
Segal J. Local behavior in shape theory.
Sekanina M. Topologies on 2^X
Seyedin M. On quasi-uniform convergence.
Simon P. Uniform atoms on \omega
Šostak A. A class of spaces which contains all connected and compact spaces.
Stärk A., Poppe H., Jeschek F. A compactness criterion for the space of almost periodic functions. (Presented by H. Poppe.)
Stavrinos P., Patronis A. On hyperspace of continuous curves and continuous hyperspaces of any order. (Presented by P. Stavrinos.)
Švedov I. A. Ob ocenke metričeskoi razmernosti.
Švedov I. A., Kuz'minov V. I. O gomologičeskoi razmernosti Bredona nasledstvenno parakompaktnych prostranstv. (Presented by V.I. Kuz'minov.)
Szymański A. P-points in \beta\omega
Talamo A. Extensions and structures.
Tall F. D. Some topological applications of a generalized Martin's axiom.
Tashjian G. Exponential operations in coreflective subcategories of Tych and Unif.
Telgársky R. On some topological games.
Terpe F., Flachsmeyer J. On convergence structures in the space of summations. (Presented by F. Terpe.)
Thron W. J., Chattopadhyay K. C. Extensions of closure spaces. (Presented by W.J. Thron.)
Vaughan J. E. Products of [a,b]-chain compact spaces.
Van de Vel M. The fixed point property of superextensions.
Venkataraman M. On topological invariants of topological spaces.
Vilímovský J. Extensions of uniformly continuous Banach ualued mappings.
De Vries J. Embeddings of G-spaces.
Wage M. L. On a problem of Katětov.
Waszak A., Musielak J. Some problems of convergence in countably modulared spaces. (Presented by J. Musielak.)
Wattel E. Subbase structures in nearness spaces.
Weiss W. Some connected problems.
Wichterle K. Joint convergence in function spaces. Order of W-closures.
Wicke H. H., Worell J. M. Jr. Scattered spaces of point-countable type. (Presented by H.H. Wicke.)
Wilhelm M. On closed graph theorems.
Worell J. M. Jr., Wicke H. H. Scattered spaces of point-countable type. (Presented by H.H. Wicke.)
Van Wouwe J. M. Generalized ordered p-spaces.
Zahradník M. l_1-partitions of unity on normed spaces.
Zarelua A. On zero-dimensional mappings and commutative algebra.
Zaremba D. On cohesive mappings.
Zemánek J. On the spectral radius in Banach algebras.
Zenor P., Alster K. Preservation of the Lindelöf property in product spaces. (Presented by P. Zenor.)