was held on August 19–23, 1991 in Prague, Czech Republic. It was organized by the Mathematical Institute of the Czechoslovak Academy of Sciences with support from the International Mathematical Union and in cooperation with the Faculty of Mathematics and Physics of the Charles University, the Center for Theoretical Studies, the Faculty of Civil Engineering, the Faculty of Electrical Engineering and the Faculty of Nuclear Science and Physical Engineering of the Czech Technical University, the Faculty of Natural Sciences and the Pedagogical Faculty of the Masaryk University, the Mathematical Institute of the Slovak Academy of Sciences, the Faculty of Mathematics and Physics of the Comenius University, the Faculty of Natural Sciences of the Šafárik University, the Association of Czech Mathematicians and Physicists and the North Holland Publishing Company.
The Symposium was attended by 228 mathematicians from 29 countries, including 29 from Czechoslovakia. The scientific programme was prepared by the program committee consisting of M. Hušek (chairman), J. Pelant and P. Simon. It consisted of 41 invited lectures and 121 contributed papers presented in four sections.
In connection with the symposium, the book Recent Progress in General Topology was published by North Holland. 20 invited speakers summarized there most important results of the last decade from their fields.
J. Aarts (Delft), K. Alster (Warsaw), A. Andricopoulos (Patras), A.V. Arhangelskii (Moscow), J. Baars (Amsterdam), W. Bajgus (Bialystok), V. H. Baladze (Tbilisi), V. Baláž (Bratislava), B. Balcar (Praha), B. Banaschewski (Hamilton), I. Bandlow (Greifswald), Ch. Bandt (Greifswald), R. Beattie (Sackville), A. Bella (Messina), R. Betti (Torino), A. Błaszczyk (Katowice), R. D. Brandt (Hannover), G. C. Brümmer (Cape Town), Z. Bukovská (Košice), L. Bukovský (Košice), H. P. Butzmann (Mannheim), F. Cagliari (Bologna), M. R. Casali (Modena), Z. Čerin (Zagreb), J. Chaber (Warsaw), M. Charalambous (Nicosia), J. J. Charatonik (Wroclaw), F. Cersi (Trieste), J. Chvalina (Brono), M. M. Clementino (Coimbra), P. Collins (Oxford), W. W. Comfort (Middletown), G. De Paris (Napoli), A. Di Concilio (Salerno), C. Costantini (Milano), J. Czarnowska (Gdansk), S. T. Czuba (Bialystok), R. Daverman (Knoxville), W. Debski (Katowice), G. Di Maio (Napoli), D. Dimovski (Skopje), J. Doboš (Košice), S. Dolecki (Dijon), E. Dontová (Prague), A. Dow (North York), B. Dvalishvili (Tbilisi), E. Eisele (Stuttgart), R. Eklund (Abo), F. van Engelen (Rotterdam), J. Ewert (Slupsk), V. V. Fedorchuk (Moscow), L. Feggos (Patras), R. Fokking (Delft), D. Fremlin (Colchester), R. Frič (Košice), A. Frölicher (Geneve), S. Fuchino (Berlin), S. Fusco (North York), C. Gagliardi (Modena), P. Gartside (Oxford), D. Georgiou (Patras), C. Gilmour (Cape Town), H. Gladdines (Amsterdam), W. Glowczynski (Gdansk), C. Good (Oxford), I. Gorelic (Toronto), M. Grandis (Genova), E. Gregorio (Padova), G. Gruenhage (Auburn), A. Gryzlov (Izhevsk), F. Guenard (Orsay), A. Hajnal (Budapest), R. Hansell (Storrs), K. Hardie (Cape Town), K. P. Hart (Delft), J. Heath (Auburn), R. Heath (Pittsburgh), J. Hejcman (Prague), M. Henriksen (Claremont), H. Herrlich (Bremen), K. H. Hofmann (Darmstadt), U. Höhle (Wuppertal), L. Holá (Bratislava), P. Holický (Prague), P. Hug (Paris), M. Hušek (Prague), S. Iliadis (Patras), J. Isbell (Buffalo), R. Isler (Trieste), G. L. Itzkowitz (Flushing), M. Jelic (Beograd), S. Jiang (Auckland), I. Juhász (Budapest), H. J. Junnila (Helsinki), O. J. Kanerva (Helsinki), Z. Karno (Bialystok), M. Katětov (Prague), F. Katrnoška (Prague), L. Kočinac (Nis), R. Kopperman (New York), M. Korostenski (Johannesburg), W. Kotzé (Grahamstown), V. Koutník (Prague), M. Kovár (Brno), E. Kronheimer (London), A. Kucia (Katowice), W. Kupla (Katowice), H. P. Künzi (Bern), M. Kurilič (Novi Sad), A. Lechicki (Erlangen), D. Leseberg (Braunschweig), S. Levi (Milano), F. E. Linton (Mddletown), J. S. Lipinski (Gdansk), T. Lipski (Slupsk), R. Lucchetti (Milano), P. de Lucia (Napoli), E. Makai (Budapest), J. Mala (Nyiregyhaza), S. Marchilashvili (Tbilisi), W. Marciszewski (Warsaw), S. Mardešic (Zagreb), P. Maritz (Stellenbosch), E. Martin-Peinador (Madrid), D. W. McIntyre (Reading), M. Megrelishvili (Ramat-Gan), J. van Mill (Amsterdam), K. C. Min (Seoul), P. Moody (Oxford), M. Mrševic (Beograd), J. R. Mukhin (Sverdlovsk), J. Nagata (Osaka), Z. Nagy (Budapest), S. A. Naimpally (Ottawa), S. Nedev (Sofia), A. Nowak (Katowice), P. Nyikos (Columbia), V. P. Okhezin (Sverdlovsk), O. Okunev (Tver), A. Okuyama (Kobe), W. Olszewski (Warsaw), A. Orsatti (Padova), B. K. Papadopoulos (Xanthi), A. Pasquale (Torino), J. Pelant (Prague), S. A. Peregudov (Moscow), V. Perminov (Sverdlovsk), V. B. Pilyugina (Leningrad), S. Plewik (Katowice), H. Poppe (Wustrow), H. E. Porst (Bremen), J. Prajs (Opole), A. Pultr (Prague), S. Purisch (Cookeville), E. G. Pytkeev (Sverdlovsk), M. Rabus (North York), G. M. Rassias (Aghia), I. Reclaw (Gdansk), G. M. Reed (Oxford), H. C. Reichel (Vienna), I. L. Reilly (Auckland), J. Reiterman (Prague), D. Remus (Hagen), M. Repický (Košice), T. Retta (Addis Abeba), G. Richter (Bielefeld), Z. Riečanová (Bratislava), J. Rogers (New Orleans), W. Rosicki (Gdansk), J. Rosický (Brno), M. E. Rudin (Madison), S. Salbany (Harare), J. Schröder (Cape own), F. Schwarz (Toledo), D. Shakhmatov (Moscow), J. Sichler (Winnipeg), P. Simon (Prague), O. V. Sipacheva (Moscow), J. Šlapal (Brno), M. B. Smyth (London), J. Snášel (Prague), M. Sobolewski (Warsaw), M. A. Sola (Tripoli), A. Šostak (Riga), L. Soukup (Budapest), J. Steprans (North York), D. M. Stone (Boston), A. H. Stone (Boston), G. Strecker (Manhattan), A. Szaz (debrecen), Z. Szentmiklóssy (Budapest), A. Szymański (Slippery Rock), W. Tholen (North York), M. G. Tkachenko (Tver), S. Todorčević (Beograd), V. Toma (Bratislava), A. Tonolo (Firenze), A. Torre (Pavia), A. Tozzi (L'Aquila), V. Trnková (Prague), A. Trybulec (Bialystok), S. Turek (Katowice), M. Turzański (Katowice), V. V. Uspenskij (Moscow), R. Vainio (Abo), V. Vajner (Cape Town), V. Valov (Sofia), J. E. Vaughan (Greensboro), M. van de Vel (Amsterdam), N. V. Velichko (Sverdlovsk), E. Verheul (Amsterdam), J. J. Vermeulen (Cape Town), P. Vitolo (Milano), P. Vojtáš (Košice), G. Volzone (Napoli), J. de Vries (Amsterdam), S. Watson (North York), H. Weber (Potenza), S. Weck-Schwarz (Toledo), W. Weiss (Toronto), S. Wilard (Edmonton), S. Williams (Buffalo), Y. Yajima (Yokohama), K. Yamada (Osaka), I. Yaschchenko (Moscow), S. Zafiridou (Patras), P. Zakzewski (Berlin), L. G. Zambakhidze (Tbilisi), O. Zindulka (Prague)
The table summarizes the number of participants from individual countries.
Czechoslovakia | 29 |
Poland | 26 |
Italy | 24 |
USA | 22 |
USSR | 20 |
Germany (East 4, West 12) | 16 |
Canada | 14 |
South Africa | 10 |
the Netherlands, United Kingdom | 9 |
Hungary, Yugoslavia | 8 |
Greece | 7 |
Finland, Japan | 4 |
France | 3 |
Bulgaria, New Zealand, Switzerland | 2 |
Austria, Cyprus, Etipia, Israel, Korea, Libya, Portugal, Spain, Zimbabwe | 1 |
The invited talks are in boldface.
Aarts | The geometry of Julia sets |
Alster | On some results concerning the Lindelöf property in the Cartesian products |
Arhangelskii | On cleavability of topological spaces over other spaces or classes of spaces |
Baars | Linear homeomorphisms between function spaces |
Bajgus | Remark on embedding curves in surfaces |
Baladze | Fiber shape theories and resolutions |
Balcar | Universal minimal dynamical systems for discrete semigroups |
Banaschewski, Pultr | Booleanizations as reflections |
Bandlow | A construction in topology by means of elementary substructures |
Bandt | The combinatorial structure of quadratic Julia sets and the Mandelbrot set |
Betti | Sheaves in cocomplete categories |
Błaszczyk | Retracts of $\omega^*$ |
Brümmer | Reflective factorization and Doitchinov's completion of quasi-uniform spaces |
Čerin | Lefschetz movable maps |
Chaber | All spaces in MOBI4 are developable |
Charatonik | On generalized homogeneity of locally connected plane continua |
Clementino | Reflective subcategories defined by separation axioms |
Collins | Universal maximal P-extensions |
Comfort | Topologizing a group |
di Concilio | Uniform continuity on bounded sets and the Attouch-Wets topology |
Costantini | Relationships between the completeness of $\omega_\mu$- metrizable spaces and a suitable notion of $\mu$-Čech-completeness |
Czarnowska | Functional connectivity of multivalued maps |
Czuba | Computers in topology teching |
Daverman | Classifications of topological manifolds |
Di Maio | Comparison of hypertopologies |
Dimovski | One parameter Nielsen fixed point theory |
Dolecki | Topologization of some convergences of sets and functions |
Dow | Remarks on basially disconnected spaces |
Dvalishvili | The (i,j)-I insertion property in bitopology |
Eisele | On homeomorphisms and incidence relations of compact projective planes |
van Engelen | Zero-dimensional Borel groups of ambiguous class two |
Ewert | The topology of semilocal connectedness and s-continuity of multivalued maps |
Fedorchuk | On dimension of manifolds |
Feggos | Some families of planar rim-scattered spaces and universality |
Fokking | The geometry of laminated spaces |
Fremlin | Spaces of finite length |
Frič, Koutník | Sequential convergence: iteration, extension, completion, enlargement |
Frölicher | Differentiation in convenient vector spaces |
Gartside | Classes of monotonically normal and hereditary paracompact spaces |
Gilmour | Pseudocompact frames |
Gladdines | $F_{\sigma\delta}$ absorbers in hyperspaces |
Glowczynski | The order-sequential topology and mesures on Boolean algebras |
Gorelic | Large Lindelöf spaces with points $G_\delta$ |
Grandis | On homotopy kernels and cokernels |
Gruenhage | Recent developments in generalized metric spaces |
Gryzlov | On matrix points in Stone-Čech compactifications of discrete spaces |
Hajnal | Partition theorems for the power set |
Hansell | General analytic spaces |
Hart | The density of $U(\omega_1)$ |
Heath | Weakly confluent $2$-to-$1$ maps |
Heath | Stronger forms of monotone normality |
Hejcman | Boundedness in quasi-uniform spaces |
Herrlich | Almost reflective subcategories of TOP |
Hofmann | Topological semigroups |
Höhle | On the relation between fuzzy topologies and Heyting algebra-valued topologies |
Holá | The bounded proximal topology on a continuous dual |
Holický | Čech analytic and almost K-descriptive spaces |
Isbell | Descriptive locale theory |
Itzkowitz | Cardinal relations between a $\sigma$-compact LC group $G$ and $\beta G$ |
Jelic | Nearly pT(i)-continuous mappings |
Jiang | On coS-closed and almost coS-closed topologies |
Juhász | Convergent sequences in compact spaces |
Junnila | Covering properties |
Kanerva | $G$-simple homotopy type and equivariant Hilbert cubes for finite group $G$ |
Karno | On essential mappings onto disks |
Katrnoška | Remark concerning some rings of continuous functions |
Kočinac | On splittability |
Kopperman | Problems in digital topology |
Kotzé | Fuzzy sobriety |
Kovár | On some generalizations of regularity-covering properties without separation axioms |
Kronheimer | Spaces in which the isolated points are dense |
Kulpa | Some properties of Tychonoff cubes |
Künzi | Denese sunspaces of quasi-uniform spaces |
Kurilic | Topological properties of the reduced ideal products |
Leseberg | Nice properties in generalized convergence spaces |
Levi | Some lattice properties in hyperspaces |
Linton | Recent work of Paul Johnson |
Lipski | Proper and admissble topologies on the space of multivalued maps |
Lucchetti | New hyperspace topologies and applications |
Makai | Full embeddings of the categories of topological spaces, proximity spaces and normed linear spaces |
Mala | Relators generating the same generalized topology |
Marchilashvili | On the dimension of the completely regular topological space |
Marciszewski | Borel and projective spaces of continuous spaces $C_p(X)$ |
Mardešic | Approximate inverse systems |
Martin-Peinador | On Pontryagin duality |
McIntyre | Calibres and compact-calibres of regular spaces and Moore spaces |
Megrelishvili | Construction of minimal groups |
van Mill | $F_{\sigma\delta}$-absorbers |
Min | Fibrewise theory in topological universes |
Moody | Acyclic monotone normality |
Mrěevic | Precompactness and pre-Lindelöfness in quasi-pseudo-metric spaces |
Mukhin | Compact elements of a subgroup lattice of Abelian topological groups |
Nagata | A survey of special metrics |
Naimpally | Characterization of metric and generalized metric spaces by real valued functions |
Nedev | Extensions and collectionwise normal embeddings via selections |
Nowak | Pointwise limits of Carathéodory functions and related classes of functions |
Nyikos | Hereditary normality and countable compactness |
Okhezin | The fixed point property in noncompact polyhedrons and ANR's |
Okunev | On analyticity in nonmetrizable spaces |
Okuyama | Note on paracompactness of product spaces |
Olszewski | There is no universal space for separable metrizable spaces with fixed large transfinite dimension |
Peregudov | On Noetherian type of topological spaces |
Perminov | Topology of the distributed processing |
Pilyugina | Zeta functions in the Nielsen theory and the trace formula for the Nielsen and Reidemeister numbers |
Plewik | On universally measure zero sets |
Poppe | A family of graph topologies for function spaces and their weak associated graph topologies |
Porst | The semiuniform product and topological groups |
Prajs | On openely homogeneous plane coninua |
Purisch | A solution to the monotone normality problem |
Pytkeev | The space of functions of of the first Baire class |
Rassias | On the monotone union and monotone intersection properties of topological manifolds |
Reclaw | Restrictions to continuous functions and Boolean algebras |
Reed | Topology and computer science |
Reilly | Some properties of fine topology |
Remus | On Moore groups |
Richter | Categorical characterization of Comp(2) |
Rogers | Indecomposable continua, prime ends and Siegel disks |
Rosický | Structure of categories |
Rudin | Generalized metric spaces |
Salbany | Stone-Gelfand duality and Eilenberg-Moore algebras |
Schröder | URY is not (Epi,M)-category |
Schwarz | Concrete topological functors between topological constructs |
Shakhmatov | Compact spaces and their generalizations |
Sipacheva | Free topological groups of spaces and their subspaces |
Smyth | Ordered topological spaces and the computational real line |
Sobolewski | Pseudoarc is not pseudocontractible |
Šostak | On locally $E(\tau)$-compact spaces |
Soukup, Szentmiklóssy | On the weakness of Martin's axiom |
Steprans | Autohomeomorphisms of $\beta {\mathbb N} \setminus {\mathbb N}$. |
Strecker | Closure operators and connections |
Száz | The fat and dense sets are more important than the open and closed ones |
Szymański | Distributivity of Boolean algebras and the Fletcher-Lindgren and McCoy theorem |
Tholen, Reiterman | Effective descent maps of topological spaces |
Tkachenko | On properties of R-factorizable groups |
Todorčević | Compactifications of $\mathbb N$ |
Tonolo | On the existence of the finest equivalent linear topology |
Torre | The B-topology |
Trnková | Categorical aspects are useful in topology (after 15 years) |
Trybulec | Beginnings of computer data base for topology |
Turek | A note on universal minimal dynamical systems |
Turzański | Strong sequences |
Uspenskij | The Maltsev operation and retracts of topological groups |
Vainio | On the ordered function space $C_c(X)$ |
Vajner | Orthogonality morphism classes, reflective subcategories and the construction of reflective hulls |
Valov | Manifolds modelled on the direct limit of n-dimensional Menger compacta |
Vaughan | On Frolík's characterization of class $P$ |
van de Vel | Some topological spects of convexity theory |
Velichko | The Lindelöf property is preserved by $l$-equivalence |
Verheul | Weak topology in modular Banach spaces |
Vermeulen | Some new results on perfect maps of locales |
Vojtáš | Boolean isomorphism between partial orderings of convergent and divergent series and infinite subsets of $\mathbb N$ |
de Vries | Topological dynamics |
Watson | Reaping numbers: topology, Boolean algebras and finite combinatorics |
Weber | Uniform lattices |
Weiss | Partitioning metric spaces |
Williams | Structure of compact monotonically normal spaces II |
Yajima | Normality and orthocompactness in products |
Yamada | Free Abelian topological groups and K-spaces |
Yaschchenko | A functional approach to fixed point theorems |
Zakrzewski | A consistent Kuratowski-Ulam theorem for sets without Baire property |
Zambakhidze | On some question of the dimension theory of Tychonoff spaces |