was held in August 19–25, 2001 in Prague, Czech Republic. It was organized by the Mathematical Institute of the Czech Academy of Sciences and the International Mathematical Union in cooperation with the Department of Mathematics of the Institute of Chemical Technology, the Department of Mathematics of the University of Economics, and the Faculty of Mathematics and Physics of the Charles University.
TOPOSYM was sponsored by the International Mathematical Union, by the grants of organizers, by Czech Airlines, Elsevier and Conforg.
The Symposium was attended by 209 mathematicians from 35 countries. The scientific programme consisted of 41 lectures invited by the organizing committee, 103 oral contributions presented in four parallel sections, 14 posters and 9 enlarged abstracts. Many contributions together with abstracts are published at the Topology Atlas.
The table summarizes the number of participants from individual countries.
| USA | 26 |
| Poland | 23 |
| Czech Republic, Mexico | 19 |
| Italy | 12 |
| United Kingdom | 10 |
| Russia | 9 |
| Canada | 9 |
| Israel, Japan | 8 |
| Germany, the Netherlands, Spain | 7 |
| Hungary | 6 |
| New Zealand | 5 |
| Slovenia | 4 |
| France, Greece, Portugal, South Africa | 3 |
| Egypt, Latvia, Slovakia | 2 |
| Belgium, Bulgaria, Denmark, Finland, Iran, Ireland,
Lebanon, Malta, Oman, Sweden, Turkey, Yugoslavia | 1 |
The invited talks are in boldface.
| Abd El-Fattah | Approximation of fractals by finite topological spaces (poster) |
| Abd El Monsef | On the behavior of pre-generalized closed sets and their generalizations |
| Acosta | Problems on continua having unique hyperspace |
| Ageev | Topology of the Nöbeling spaces |
| Andablo Reyes | Ordered embeddings on symmetric products |
| Arhangelskii | Topological spaces with some algebraic structure |
| Balogh | Reflection theorems and elementary submodels |
| Barkhudaryan | Clones of topological spaces |
| Bell | Polyadic spaces of countable tightness |
| Błaszczyk | Extension of Vladimirov's theorem |
| Bosi, Zuanon | Existence of a sublinear continuous order-preserving function for a noncomplete preorder on a topological vector space |
| Bouziad | H-trivial spaces |
| Bula | On strict convexity in metric spaces (poster) |
| Burdick | On linear cofinal completeness |
| Burke | First countable, countably paracompact spaces |
| Bykov | On SSDR pro-maps |
| Cagliari | Injective topological fibre spaces (poster) |
| Cao | Cardinal Invariants of star-covering Properties |
| Capulín | Retractions from C(X) onto X and type N-continua |
| Cascales | The Lindelöf property in Banach spaces |
| Cencelj | Extension of maps to nilpotent spaces |
| Chaber | Hereditarily Baire spaces |
| Charatonik | On self-homeomorphic dendrites |
| Chatyrko | On a question of de Groot and Nishiura |
| Ciesielski | A generalization of Sperner's lemma |
| Comfort | The dual group of a dense subgroup |
| Contreras-Carreto | Compactness properties of spaces $C_{p}(X,2)$ and $C_{p}(X,Z)$. |
| Costantini | Consistent examples about extensions of continuous functions. |
| Császár Á. | Rarophile spaces (poster) |
| van Dam | The construction method of resolutions |
| David | Ideals of quasi-ordered sets |
| Dijkstra | On the structure of $n$-point sets |
| Dikranjan | The Bohr topology can measure Boolean subgroups |
| Di Maio | Uniformizable and metrizable Delta-U proximal topologies (poster) |
| Duda | Chainable subcontinua (enlarged abstract) |
| Elekés | Linearly ordered sets of continuous and Baire 1 functions |
| Ergun | On weak $\overline\theta$-refinability |
| Farah | Powers of Čech-Stone compactifications |
| Fremlin | Topological measure spaces |
| Gartside | Relative properties |
| Geschke | Cardinal invariants of the continuum related to convex geometry |
| Glasner | Universal minimal dynamical systems |
| Godefroy | Some recent progress in the topology of Banach spaces |
| Good | Whether monotonically countably paracompact spaces are collectionwise Hausdorff depends on whether you have one or two measurable cardinals |
| Gorak | Spaces u-equivalent to the n-disk. |
| Gorelic | Partial orders with singular cofinalities |
| Gormley | The embeddability ordering and order-resolutions (poster) |
| Greenwood | Ideal reflections |
| Gregori | On completion of fuzzy metric spaces |
| Grispolakis | On the existence of periodic cycles on the boundary of a Siegel disc (enlarged abstract) |
| Gruenhage | Recent developments in generalized metric spaces |
| Gulko | Free rectifiable spaces |
| Gusso | Large and small sets with respect to homomorphisms and products of groups (enlarged abstract) |
| Gutev | Subdividing and generating embedding-like properties |
| Gutierres | Is R a sequential space? |
| Hart | Algebraic and logical aspects of hereditary indecomposability |
| Hattori | Special metrics |
| Heath | Continuity of addition on some ccc liniarly ordered spaces and related spaces |
| Henriksen | Spaces X in which all prime z-ideal of C(X) are minimal or maximal |
| Herrera | Hyperspaces of dendrites |
| Hindman | Recent progress in the theory of topological semigroups and the algebra of $\beta S$ |
| Höhle | A remark on the hypergraph functor |
| Hofmann | Lax algebras |
| Holá | Spaces of densely continuous forms, usco and minimal usco maps |
| Holický | On the sets with small sections over nonseparable spaces |
| Hrušák | How much $\diamondsuit$ does your construction require? |
| Iliadis | A dimension-like function of type Ind |
| Illanes | Size levels |
| Itzkowitz | Balance, functional balance, and discrete balance In topological groups |
| Jafari | $\theta$-c--semiopen sets and associated mappings (enlarged abstract) |
| Juhász | Characterizing continuity by preserving compactness and connectedness |
| Junnila | On function spaces |
| Kalenda | On the class of continuous images of Valdivia compacta |
| Kombarov | Normality-type properties and functors (enlarged abstract) |
| Komisarski | Descriptive set-theoretic properties of the isomorphism relation between Banach spaces |
| Kovár | Problem 540 is (almost) solved |
| Kozlov | The maximal G-compactifications as completions |
| Kraszewski | Properties of ideals on the generalized Cantor spaces |
| Krawczyk | Ordering of itineraries |
| Kruml | On simple and semisimple quantales |
| Krupski | Continuous means on solenoids |
| Krzeminska | Uniform continuum-chainability and Whitney levels |
| Krzempek | An approach to covering dimension of maps |
| Kubiś | On cardinalities of cliques in Borel non-convex sets |
| Kunen | Ultrafilters and Matrices |
| Künzi | Quasi-uniformities on topological semigroups and bicompletion |
| Kwiecinska | On Lebesgue theorem for multivalued functions of two variables (poster) |
| Leiderman | On the spaces of Lipschitz functions |
| Lipecki | Linearly independent perfect sets of large cardinality |
| Lubitch | A linearly Lindelöf non-Lindelöf space from a good PCF scale |
| Lutzer | Recent progress in ordered spaces |
| Machura | Continuous functions coupling with almost contained |
| Macias | Arcwise accessibility in hyperspaces |
| Macías-Romero | On span and other classes of continua |
| Makai | Characterization of function classes $C(Y)|X$ |
| Malešič | Self similar Cantor sets in Euclidean spaces |
| Marciszewski | Some recent results on the function spaces $C_p(X)$ |
| Marsh | Symmetries of wild knots |
| Martínez de la Vega | An uncountable collection of compactifications of the ray with remainder pseudoarc. |
| Matutu-Mabizela | Stably continuous sigma frames (poster) |
| McCluskey | Relative normality within the Sorgenfrey plane |
| McIntyre | Topology Dictionary and Topology Encyclopaedia (poster) |
| Meccariello | Graph topologies on closed multifunctions, I (poster) |
| Megrelishvili | Fragmentability and representations of flows |
| Michael | A Survey of J-spaces |
| Michalewski | Condensations of function spaces onto compacta |
| Milan | Continuous dualities of locally compact modules (enlarged abstract) |
| Milewski | On typical parametrizations of n-dimensional compacta on the Cantor set |
| van Mill | Another proof of the Open Mapping Principle and applications |
| Mohamad | Metrization and sharpe bases |
| Moniri | Using nets in Dedekind, monotone, or Scott incomplete ordered fields and definability issues |
| Morishita | On Eberlein compactifications of metrizable spaces |
| Mramor Kosta | Actions of tori on CW complexes |
| Mrševic | Function spaces in Čech closure spaces |
| Mulazzani | An intrinsic characterization of p-symmetric Heegaard splittings |
| Murtinová | Separation axioms in dense subsets |
| Nasef | On upper and lower $\gamma$- irresolute multifunctions |
| Nikiel | On $\sigma$-directed inverse systems |
| Nunez García | Strongly nuclear groups |
| Nyikos | New axioms and techniques in set-theoretic topology |
| Obersnel | On Tychonoff-type hypertopologies |
| Orozco | Increasing Whithey properties |
| Paseka | Morita equivalence for non--commutative topologies |
| Pasynkov | On homogeneous and Dugundji compacta X with dim X < ind X |
| Pelant | On selections and continuous functions |
| Pellicer Covarrubias | On properties of the hyperspaces K(X). |
| Pestov | Spaces with metric and measure, topological transformation groups, and Ramsey theory |
| Piotrowski | A solution of a problem of Henriksen and Woods on separate vs. joint continuity |
| Pol E. | On hereditarily indecomposable continua, Henderson compacta and a question of Yohe |
| Preuss | A better framework for first countable spaces |
| Pyrih | Open problem seminar (poster) |
| Raines | Orbits of turning points for maps of finite graphs and inverse limit spaces |
| Rayburn | Wallman-Frink proximities (poster) |
| Reed | Developments in topology and domain theory |
| Renska | On rigid hereditarily indecomposable continua. |
| Repovš | A survey of geometric topology of polyhedra |
| Richter | Exponentiablity for maps means fiberwise core-compactness (enlarged abstract) |
| Sakai | Orderability of free topological groups |
| Sanchez Perez | Weak topologies on asymmetric normed linear spaces. |
| Sapena | Uniform continuity in fuzzy metric spaces |
| Shakhmatov | Convergence properties of topological groups |
| Shapiro | Dyadic compacta |
| Shishkov | Selections of mappings with collectionwise normal and continuum-paracompact domain |
| Sipacheva | Topological solvability of equations over groups |
| Šlapal | A digital analogy of the Jordan curve theorem (enlarged abstract) |
| Smith | Compactification of a set mapped into itself (poster) |
| Solecki | Borel equivalence relations and topology |
| Šostak | On some L-valued categories related to topology |
| Soukup | Cardinal sequences od scattered spaces |
| Sousa | Pushout stability of embeddings, injectivity and categories of algebras |
| Spakowski | On lower semicontinuous multifunctions i quasi-uniform spaces (enlarged abstract) |
| van der Steeg | Model-theoretic continuum theory |
| Strauss | Multiplication in WAP(N) and SAP(N) |
| Tkachenko | R-factorizable groups and P-groups |
| Tkachuk | Lindelöf $\Sigma$-spaces and $C_p$-theory: recent achievements. |
| Todorčević | Chain-condition methods in topology |
| Trnková | Quasiorders on topological categories |
| Tuncali | On dimensionally restricted maps |
| Turzański | A combinatorial lemma for a symmetric triangulation of the sphere $S^2$ |
| Urbaniec | Topological games and iterates of multifunctions |
| Uspenskij | Compactifications of topological groups |
| Valov | Dense families of selections and finite-dimensional spaces |
| Vaughan | Examples of linearly stratifiable spaces |
| Watson | Applying trees of finite approximations of elementary submodels to topology |
| Williams | Topologies on infinite products |
| Windels | Quantifying domains |
| Yajima | Covering properties and various products |
| Yakivchik | Around Katětov theorems on products |
| Yamazaki | Weak C-embedding and products with a compact factor |
| Yaschenko | On spaces with topology determined by almost closed sets |
| Zeberski | Nonstandard proofs of Eggelston like theorems |
| Zhitomirski | Topologically complete representations of inverse semigroups |
The pictures come mostly from scientific program of the conference The rest comes from various cultural and social events organized during the conference. Unfortunately, it was not possible to collect pictures of all the participants. The photographs were kindly offered by T. Hoshina, M. Hušek, E. Murtinová, P. Simon, J. Vaughan and Y. Yajima.
TOPOSYM 2022