5th Prague Topological Symposium

(August 24 - 28, 1981)

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

was organized by Institute of Mathematics of Czechoslovak Academy of Sciences with a support of International Mathematical Union in cooperation with:
Faculty of Mathematics and Physics of Charles University,
Institute of Mathematics of Slovak Academy of Sciences,
Faculty of Mathematics and Physics of Comenius University and
Association of Czechoslovak Mathematicians and Physicists.
Support for the Symposium was also provided by:
Czech Technical University - Faculty of Electrical Engineering and Faculty of Nuclear and Physical Engineering,
Faculty of Natural Sciences of J. E. Purkyně University and
Faculty of Natural Sciences of Palacký University.
Organizing committee:
chairman:
J. Novák
vice-chairmen:
Z. Frolík
S. Schwarz
secretary:
V. Koutník
treasurer:
A. Rázek
members:
B. Balcar
L. Bukovský
J. Hejcman
M. Hušek
M. Katětov
T. Katrinák
I. Kolár
J. Kolomý
L. Mišík
J. Pelant
P. Pták
V. Pták
A. Pultr
J. Reiterman
J. Rosický
I. Sekanina
P. Simon
V. Trnková
J. Vilímovský
P. Vrbová
The Symposium was attended by 227 mathematicians from 27 countries, in that number 61 from Czechoslovakia.

The program of the Symposium was prepared by the Program Committee composed of Z. Frolík (chairman), M. Katětov (vice-chairman) and M. Hušek (member). The program consisted of 34 lectures by invitation of the organizing committee and 133 contributed papers presented in four parallel sessions.

On Monday afternoon a special session of Symposium devoted to commemoration of the 200th anniversary of the birth of Bernard Bolzano was held at Charles University. On the occasion of Symposium the Presidium of Czechoslovak Academy of Sciences awarded Golden Plaque of B. Bolzano for merit in mathematical sciences to P. S. Alexandrov, R. D. Anderson and Á. Császár (the first one could not be present because of reasons of health).

96 invited and contributed papers were published in General Topology and its Relations to Modern Analysis and Algebra V, Proceedings of the Fifth Prague Topological Symposium 1981 (Heldermann Verlag 1983).

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 60
Poland 33
USSR 21
Germany (East 5, West 14) 19
USA 16
Yugoslavia 12
Italy, the Netherlands 9
Hungary 8
Belgium, Bulgaria, Canada 5
Greece 4
Egypt, United Kingdom 3
Austria, Finland, India, Spain 2
Denmark, France, Ireland, Japan, Kuwait, Mexico, Venezuela 1

List of communications

   (invited lectures are in bold face)
Abd El-Monsef M. E., El-Deeb S. N., Hasanein I. A., Miashhour A. S. On non-continuous mappings. (Presented by M. E. Abd El-Monsef.)
Abd El-Monsef M. E., Ghanim M. H., Kerre E. E., Mashhour A. S. Fuzzy topological results. (Presented by E.E. Kerre.)
Abel M. The extensions of topological spaces depending on cover and its applications.
Adámek J., Reiterman J. Cartesian closed hull of uniform spaces. (Presented by J. Reiterman.)
Amirdžanov G. P. On dense subspaces of topological spaces.
Anderson R. D. Infinite dimensional topology
Argyros S., Mercourakis S., Negrepontis S. Analytic properties of Corson-compact spaces. (Presented by S. Negrepontis.)
Arhangel'skii A. V. On relationships between topological properties of X and C_P(X). 
Arya S. P. Sum theorems for topological spaces I.
Baković V. On Hurewicz families of separable metric spaces.
Balogh Z. On hereditarily strong \sum-spaces.
Balcar B., Simon P. Cardinal invariants in Boolean spaces. (Presented by B. Balcar.)
Banaschewski B. The power of the ultrafilter theorem. 
Bell M. G. Compactifications of a countable discrete space.
Błaszczyk A. A note on rigid spaces and rigid Boolean algebras.
Borubaev A. A. On the completion of finite order of uniform spaces.
Brandenburg H. On D-normal spaces.
Bregman J. H., Šapirovskij B. E. On partition of topological spaces. (Presented by J.H. Bregman.)
Bula W. A short proof that a compact ordered space cannot be mapped onto a non-metric product.
Butkovičová E. Gaps in Rudin-Frolík order.
Čerin Z. Global convergences of compacta. 
Chaber J. Open finite-to-one images of metric spaces.
Charatonik J. J. Several problems on universal smooth dendroids.
Charatonik J. J., Miklos S. Images of graphs under local expansions. (Presented by S. Miklos.)
Chvalina J. On continuous functional parametrizations of topological general systems.
Čoban M. M. Algebras and some questions of the theory of maps. 
Collins P. J. A one line proof of the fact that the topology of compact convergence of continuous functions is the compact-open topology.
Contessa M., Zanolin F. On some remarks about a not completable convergence ring. (Presented by F. Zanolin.)
Császár Á. Complete extensions of quasi-uniform spaces. 
Császár K. Absolutely open spaces.
Czuba S. T. Open functions and pointwise smooth dendroids.
Daneš J. A covering theorem for mappings between metric spaces.
Demaria D. C. On regular functians from a topological space to a graph. 
Dikranjan D. Extension of minimal ring topologies.
Dimov G. On the Stone duality.
Dobrakov I. Uniform boundedness principle for exhaustive set functions.
Dobrowolski T. An extension of a theorem of Klee.
Doitchinov D. Supertopologies and some classes of extensions of topological spaces.
van Douwen E. K. Continua and \beta X
Dow A. Remote points.
Duchoň M. Harmonic analysis of vector functions and measures on homogenous Banach spaces.
Duda E. A sum theorem for semispan of continua.
El-Deeb S. N. (see Abd El-Monsef M. E.)
Engelking R., Pol E. Countable-dimensional spaces: a survey. (Presented by R. Engelking.)
Fabian M., Withfield H. M., Zizler V. On smooth characterizations of spaces isomorphic to Hilbert or uniformly convex spaces. (Presented by M. Fabian.)
Fedorčuk V. V. Absolute retracts and some functors. 
Felouzis V. On the characterization of totally orderable spaces and their subspaces.
Ferry S. Homotopy, simple homotopy and compacta. 
Flachsmeyer J. On the convergence of motions. 
Fremlin D. H. Consequences of Martin's axiom. 
Frič R., Kent D. C. A nice completion need not be strict. (Presented by R. Frič.)
Frič R., Koutník V. Sequential convergence since Kanpur conference. (Presented by V. Koutník.)
Frolík Z., Hušek M., Pelant J., Rödl V., Vilímovský J. Uniform spaces (selected topics). (Presented by J. Pelant.)
Gähler S. Topological problems in optimization theory.
Gähler W. A topological approach to general structure theory. 
García-Máynez A. Chromatic numbers and Cantor manifolds.
Ghanim M. H. (see Abd El-Monsef M. E.)
Giuli E., Strecker G. E., Tozzi A. On E-dense hulls and shape theory. (Presented by A. Tozzi.)
Graf S. Realizing homomorphisms of category algebras.
Grimeisen G. Remarks on the continuity of incidence relations in topological planes.
Guido C. A characterization of simple extensions of topologies.
Hadžiivanov N. O stěpeni svjaznosti proizveděnij topologičeskich prostranstv.
Hajnal A., Szentmiklóssy Z. On the cardinality of quasi hereditarily Lindelöf spaces. (Presented by A. Hajnal.)
Hansell R. W. Point-countable Souslin-additive families and \sigma-discrete reduction.
Hart K. P. Topological properties of \omega_1-trees.
Hasanein I. A. (see Abd El-Monsef M. E.)
Hejcman J. Metrization lemmas and equivalence of Lipschitz structures.
Henriksen M., Smith F. A. Sums of z-ideals and semiprime ideals. (Presented by M. Henriksen.)
Herrlich H. Categorical topology 1971-1981
Himshiashvili G. On the Euler characteristics of the level surfaces of smooth germs.
Hohti A. A theorem on uniform paracompactness.
Hušek M. Omitting cardinal functions by topological spaces.
Hušek M., Reichel H.-C. On linearly uniformizable spaces. (Presented by H.-C. Reichel.)
Hušek M. (see Frolík Z.)
Iliadis S. Regular spaces (in the sense of the theory of order).
Ivanšić I. A note on Borsuk's index e(X).
Janković D. Properties of \alpha\beta-continuous functions.
Jayne J. E. First level Borel functions. 
Jelić M. Aksiomy PSR_i v bitopologičeskich prostranstvach.
Juhász I. Quasi hereditary Lindelöfness and the S space problem. 
Junnila H. J. K. On stratifiable spaces and M_0-spaces.
Kamiński A. Remarks on multivalued convergences.
Kaniewski J., Rogers C. A. Double uniformization. (Presented by J. Kaniewski.)
Kartsaklis A. An attempt of unification of mikrocosmos and mega(makro)-cosmos on the base of the order.
Katětov M. On a dimension function based on Bolzano's ideas.
Katrnoška F. M-base and the representation of orthocomplemented posets.
Kent D. C. (see Frič R.)
Kerre E. E. (see Abd El-Monsef M. E.)
Kolář I. Functorial prolongations of Lie groups and their actions.
Kolomý J. Duality mapping and geometry of Banach spaces. 
Koutník V. (see Frič R.)
Kovačević I. Continuity and paracompactness.
Kratochvíl P. Sequential convergence as a partial operation.
Krupski P. A characterization of solenoids
Kurepa D. Some approaches to topological spaces.
Laitadze G. On iterated products of models with topologies.
Laugwitz D. On Bolzano's nonarchimedean numbers.
Lecomte P. B. A. Automorphisms of a vector bundle.
Levi S. On Baire cosmic spaces.
Levy R., Rice M. D. The approximation and extension of uniformly continuous mappings. (Presented by M.D. Rice.)
Lisica J. T. Duality theorems and shape and coshape dual categories.
Lokucievskij O. V. On topology of continua.
Lowen R. Hyperspaces of fuzzy sets.
Lowen-Colebunders E. On two uniformization problems for Cauchy spaces.
Makai E. Jr. The full embeddings of the category of proximity spaces into itself.
Maltsev A. Iterative algebras of continuous functions.
Mamuzić Z. P. A note on an elementary phenomenon in general topology.
Marjanović M. Identification of some hyperspace constructions.
Martín-Peinador E. Irreducible maps and ultraspaces.
Mashhour A. S. (see Abd El-Monsef M. E.)
Melton A. Hereditary factorization structures on Top and T_0.
Mercourakis S. (see Argyros S.)
Miklos S. (see Charatonik J. J.)
van Mill J. Types of weak P-points in \beta\omega-\omega
Miškin V. Upper and lower semicontinuous set-valued mappings of topological spaces.
Močkoř J. Nonstandard topological completions.
Mogilski J. On infinite dimensional sigma-compact manifolds.
Mršević M. On non-symmetric proximity spaces.
Musielak J. On filtered families of operators in two-modular spaces.
Nagata J. Topics in dimension theory. 
Negrepontis S. (see Argyros S.)
Nedev S. Faktorizacija dokazatel'stv nekotorych teorem o selekcijach mnogoznačnych otobraženij.
Nepomnjaščii G. A spectral characterization of absolute multivalued retracts.
Nguyen-To-Nhu Remarks on characterizations of dimension of separable metrizable spaces.
Neubrunn T. Multifunctions and quasicontinuity.
Nyikos P. Set-theoretic topology of manifolds.
Okuyama A. Some relationship between function spaces and hyperspaces by compact sets. 
Olejček V. An example of a recurrent function on a compact totally disconnected space.
Pap E. Contributions to functional analysis on convergence spaces.
Pareek C. M. On semi-metric spaces.
Pelant J. (see Frolík Z.)
Pietsch A. The index-trace formula for Fredholm operators.
Pol E. Remarks on infinite-dimensional spaces.
Pol E. (see Engelking R.)
Pol R. On analytic-measurable collections of countable-dimensional and weakly infinite-dimensional compacta. 
Polkowski L. T. Open and closed mappings and infinite dimension.
Poppe H., Stärk A. Compactness of almost periodic functions and Bohr compactification. (Presented by A. Stärk.)
Porst H.-E. Adjoint diagonals for topological completions.
Preiss D. Dimension, metrics and differentiation of measures. 
Pták P. Topological quantum mechanical observables.
Purisch S. Recent results on total orderability.
Reichel H.-C. (see Hušek M.)
Reiterman J. (see Adámek J.)
Rice M. D. (see Levy R.)
Riečan B. On regular measures in ordered spaces.
Rödl V. (see Frolík Z.)
Roelcke W. Completeness of quotients of topological groups.
Rogers C. A. (see Kaniewski J.)
Rosický J. Model theoretic properties of categories of topological type.
Schroder M. Stone-Weierstrass approximation: algebraic problems.
Schröder J. Factorizations in general categories (Submonotone quotient, Superlight).
Šapiro L. B. On regular averagings.
Šapirovskij B. E. (see Bregman J. H.)
Ščepin E. V. On compacts defined by functors. 
Shaydayeva D. M. On basic concepts of non-commutative general topology.
Simon P. (see Balcar B.)
Singal M. K. Sum theorems for topological spaces II.
Šipoš J. On semiconvergence semigroups.
Šiška J. The LCC-topology on the space of continuous functions.
Smith F. A. (see Henriksen M.)
Šostak A. P. Paracompacta with G_\delta-diagonal and inverse systems of ANRs.
Stärk A. (see Poppe H.)
Strecker G. E. (see Giuli E.)
Swiatkowski T., Wilczyński W. Remark on the theorem of Dini. (Presented by W. Wilczyński.)
Szentmiklóssy Z. (see Hajnal A.)
Szymański A., Zhou Hao-xua The behaviour of uu \omega^{2*} under some consequences of Martin's axiom. (Presented by A. Szymański.)
Telgársky R. On a game of Choquet.
Tholen W. Completions of categories and shape theory.
Titoni G. Some remarks on radial and pseudoradial spaces.
Tkačenko M. G. On topologies of free groups.
Topsoe F. Topological games and Čech completness.
Toruńczyk H. Hilbert manifolds in topological groups and in convex subsets of Banach spaces. 
Tozzi A. (see Giuli E.)
Trnková V. Representations of comutative semigroups by products of topological spaces. 
Ungar Š. A remark on shape paths and homotopy pro-groups.
Valov V. AR spaces in the class of completely regular spaces are compact spaces.
Vaughan J. E. Embeddings of (\omega_1, \omega_1^*)-gap spaces in countably compact spaces.
van de Vel M. Convex structures and dimension.
Vilímovský J. (see Frolík Z.)
Vinárek J. Homeomorphisms of products of metric 0-dimensional spaces.
Vlach M. On nonenlarging closures in affine spaces.
Vojtáš P. A transfinite Boolean game and a generalization of Kripke's embedding theorem.
de Vries J. Glicksberg's theorem for G-spaces. 
Waszak A. On convergence in some two-modular spaces.
Watson W. S. Countably paracompact first countable spaces.
Wattel E. Partitions of R^n into n+1 homogeneous zero dimensional homeomorphic measurable parts.
West T. T. Decomposition of Fredholm operators. 
Wilczyński W. (see Swiatkowski T.)
Wilhelm M. Nearly lower semicontinuity and its applications.
Williams S. W. Co-absolutes of Čech-Stone remainders and orderable spaces.
Withfield H. M. (see Fabian M.)
Wong R. Y. Homeomorphism spaces of Hilbert manifolds are ANR's.
Zaharov V. Topological and algebraical aspects of some sets of measurable functions.
Zambachidze Z. G. On relations between dimensional and dimensional-like functions in some special classes of topological spaces and topological groups.
Zanolin F. (see Contessa M.)
Zemánek J. Asymptotic behaviour of some geometric characteristics of linear operators.
Zhou Hao-xua (see Szymański A.)
Zizler V. (see Fabian M.)