was held on August 25–29, 1986 in Prague, Czech Republic. It was organized by the Mathematical Institute of the Czechoslovak Academy of Sciences in cooperation with the Faculty of Mathematics and Physics of the Charles University, the Faculty of Civil Engineering and the Faculty of Nuclear Science and Physical Engineering of the Czech Technical University, the Faculty of Natural Sciences of the Purkyně University, the Institute of Mathematics of the Slovak Academy of Sciences, the Faculty of Mathematics and Physics of the Comenius University and the Association of Czechoslovak Mathematicians and Physicists. Support for the Symposium was also provided by the Pedagogical Faculty of the Purkyně University and the Faculty of Natural Sciences of the Šafárik University.
The Symposium was attended by 220 mathematicians from 29 countries. The scientific programme was prepared by the Program Committee cinsisting of Z. Frolík (chairman), M. Hušek (vice-chairman), B. Balcar and J. Pelant. The programme consisted of 35 lectures invited by the organizing committee and 132 contributed papers presented in three or four parallel sections.
62 papers (invited or contributed) together with 74 abstracts were published in General Topology and its Relations to Modern Analysis and Algebra VI, Proceedings of the Sixth Prague Topological Symposium 1986 (Heldermann Verlag 1988).
The table summarizes the number of participants from individual countries.
Czechoslovakia | 50 |
Poland | 33 |
USA | 22 |
Germany, Italy | 16 |
USSR, Yugoslavia | 12 |
Canada | 8 |
Hungary | 7 |
Bulgaria, Finland | 6 |
Japan, United Kingdom | 5 |
Austria, Greece, the Netherlands | 3 |
India, Zimbabwe | 2 |
Algeria, Belgium, France, Kenya, Kuwait, Romania, Spain, Switzerland, Turkey | 1 |
The invited talks are in boldface.
Aarts | One dimensional dynamical systems. |
Abel | Topological module-algebras without free maximal closed ideals. |
Adámek | Reflective subcategories of topological spaces, II. Finite intersections. |
Anderson | General topology in the twenty-five years of the Prague symposia. |
Andrijević | On the topology generated by preopen sets. |
Antosik | On double and iterated limits. |
Arhangelskii | Some new approaches, results and problems in the theory of mappings. |
Artico, Moresco | On the structure of fuzzes. |
Arya, Singal | The open cover sum theorem. |
Atsuji | Pseudo- and countably compact spaces and bitopological spaces. |
Aydin | An order relation between fuzzy numbers and its use in fuzzy metric. |
Baladze | On strong shapes of compact G-spaces. |
Baláž | Separate continuity and joint continuity. |
Balcar, Simon | Nondistributivity and disjoint refinement in Boolean algebras. |
Balogh | On Baire and related sets in normal spaces. |
Banaschewski | Stably continuous locales. |
Bandt | On the Hausdorff metric on hyperspaces. |
Beattie, Butzmann-P. | On Choquet spaces. |
Bella | Some remarks on the Novák number. |
Bensimon | The topological space of all extreme points of a compact convex set. |
Bielawski | A selection theorem for open-graph multifunctions. |
Bjon | Convergence structures in infinite-dimensional holomorphy. |
Błaszczyk | A construction of a rigid Boolean algebra. |
Burzyk | An example of a normed non-complete K-space. |
Butzmann | Sequentially determined convergence spaces. |
Cagliari, Mantovani | Localizations in universal topological categories. |
Cain | Countable compactifications. |
Chaber | On the class MOBI. |
Charalambous | Further theory and applications of covering dimension theory of uniform spaces. |
Charatonik J. J. | Continua with property R |
Charatonik W. J. | Open Whitney maps for the hyperspace of the circle. |
Chvalina | On the Michael-Novikov-Castaing type approximation of correspondences. |
Ćirić | Some results on nonlinear quasi-contractions. |
Comfort | Some unsolved problems in topological groups. |
Di Concilio, Naimpally | A nearness approach to extension problems. |
Császár Á. | Multiplicative semigroups of continuous mappings. |
Czuba | A new class of non-contractible continua. |
Daniels | When countably paracompact, locally compact, screenable spaces are paracompact. |
Davis | The strict p-space problem. |
Dawidowicz | Fixed point theorem for a new class of multivalued mappings. |
Debs | Using games in topology. |
Diamond | Images and preimages of rimcompact, almost rimcompact and 0-spaces. |
Dikranjan | Non-completeness measure of convergence abelian groups. |
Dimitrijević, Kočinac | On treelike proximity spaces. |
Dimov | On Eberlein spaces and related classes of spaces. |
Dobrowolski, Mogilski | Countable dimensional skeletoids in the Hilbert cube. |
van Douwen | Groups, maximal topologies and $\beta X$. |
Dow | Reflection and forcing in topology. |
Downarowicz | Some extension of the irrational disc rotation. |
Drewnowski, Lipecki | On some dense subspaces of topological Iinear spaces II. |
Duchoň | Characterization of Fourier transforms. |
Duda | Some theorems concerning span and semispan. |
Eklund, Gähler | Fuzzy convergence. |
Ewert | Multivalued maps into a bitopological space; closed graph and lower semicontinuity. |
Fabian | On projectional resolution of identity on the duals of certain Banach spaces. |
Fedorchuk | On some geometrical properties of the functor of probabilistic measures. |
Flachsmeyer | Topological ortho-posets. |
Fleischer | Regular completion of convergence groups. |
Frič, Koutník | Completions of convergence groups. |
Frolík | Remarks to the development of topological descriptive theory. |
Gähler | Discrete convergence and applications to integral equations. |
Ganster | On the collection of preopen sets in a topological space. |
Gerlits, Nagy | On some convergence properties. |
Granas | A general coincidence theorem for set-valued maps. |
Grimeisen | On a class of filters closed under filtered summation. |
Gruenhage | On the existence of suborderable subspaces. |
Guia, Arval | Some new set topological operators. |
Haluška | On integration in locally converx spaces. |
Hattori | Characterizations of metrizable spaces having transfinite dimension. |
Hejcman | Topological vector group topologies for the real line. |
Henriksen | Spaces of prime ideals. |
Herrlich | Hereditary topological constructs. |
Hitchcock | A generalization of minimal and maximal spaces. |
Holá | Hausdorff metric convergence of continuous functions. |
Husch | Quasi-embeddings. |
Husová | Topologies on space of empirical functions. |
Hušek, de Vries | Compactifications of products of topological semigroups. |
Idzik | A selection theorem. |
Iliadis | Continua that are almost locally a bundle of arcs and the property of universality. |
Jelič | $\xi_B$-dimension function of bitopological spaces. |
Johnson, Lazarow, Wilczyński | Topologies related to sets having the Baire property. |
Jokl | On a generic differentiability of convex functions. |
Juhász | Cardinal functions on large subspaces. |
Junnila | On hereditarily metacompact spaces. |
Just | $\omega^* \times \omega^*$ may not be a continuous image of $\omega^*$. |
Kalina | Measure in the alternative set theory. |
Katětov | On universal metric spaces. |
Kent, Vainio | The category of preordered Cauchy spaces is cartesian closed. |
Kerre, Ottoy | A comparison of the different notions of neighbourhood systems for Chang topologies. |
Kočinac | On radiality of function spaces. |
Kokk | On the spectra of topological module-algebras. |
Kopperman, Meyer | A metrization invariant. |
Koyama | On compacta which are $1$-equivalent to $I^n$. |
Krupski | On homogeneous tree-like continua. |
Kůrková | Topological semantics of modal logic $S4$. |
Lindström | Algebras of holomorphic functions. |
Lipiński. | On relations between continuity, quasi-continuity and cliquishness of maps. |
Lokucievskii | On the approximation of any metric compacta by finite-dimensional metric spaces. |
Makai | k-compactness and ordered spaces. |
Mańka | Generalized notion of the supremum. |
Marciszewski | An infinite compact space $K$ with $C_p(K)$ not homeomorphic to $C_p(K) \times C_p(K)$. |
Mauldin | Random topological objects. |
Michael | Continuous selections avoiding a set. |
van Mill | Local contractibility, cell-like maps, dimension, and Kuratowski's problem. |
Mogilski | Some examples of absorbing sets in the Hilbert space. |
Mršević | On weakly $\theta$-continuous functions. |
Nedev | Inverse selection theorem. |
Negrepontis | Weakly stable Banach spaces. |
Neubrunn | Strongly quasi-continuous multifunctions. |
Nikiel | A continuous partial ordering for images of arcs. |
Nogura | Products of Fréchet spaces. |
Noll | On the open mapping theorem in topological spaces. |
Nyikos | Progress on countably compact spaces. |
Oja | Uniqueness of Hahn-Banach extensions. |
Oversteegen | On atriodic tree-like continua and homogeneous trees. |
Papadopoulos | Exponential laws for function spaces equipped with the quasi uniformity of quasi uniform convergence. |
Pareek | On symmetrizable spaces. |
Pedicchio | De Morgan and strong de Morgan laws in a topos of sheaves. |
Pelant | Remarks on Isbell's semiproducts. |
Pietsch | A historical survey of the theory of infinite determinants. |
Plaskacz | Coincidence of contractive-type pairs. |
Plewik | Remarks on closed mappings. |
Pochcial | Remarks on sequential characterizations of metrizability. |
Pol | Countable dimensional universal sets. |
Porst | On free topological algebras. |
Pultr | Some recent results of the theory of locales. |
Purisch | The orderability of scattered spaces. |
Reed E. E. | Extensions and interval structure. |
Reed G. M. | The intersection topology and normal Moore spaces whose squares are not normal. |
Riečan | On a modification of topological entropy |
Remus | Topological groups without non-trivial characters. |
Rogers | The ends of continua and the hyperbolic plane. |
Roitman | More compact scattered spaces (=superatomic Boolean algebras). |
Rosický | Reflective subcategories of topological spaces Infinite intersections. |
Salbany | Spaces with unique quasi-uniformties. |
Singal, Nimse | z-continuous mappings. |
Šmarda | $T_1$- and $T_2$-locales. |
Šostak | Compactness and connectedness degrees in fuzzy spaces. |
Stegall | Sequences of $k$-analytic functions. |
Stojaković | Some new types of contraction in Menger spaces. |
Szambien | Uniform structures in projective geometry. |
Tall | Topological applications of supercompact and huge cardinals. |
Tholen | Diagonal theorems in topology and elsewhere. |
Tironi | On pseudo-radial and almost-radial spaces. |
Todorčević | Topological aspects of the Ramsey theory for the uncountable. |
Torunczyk | Finite-to-one restrictions of continuous functions. |
Trnková | Representations in categories of continuous structures. |
Turzański | On dyadic spaces. |
Uspenskij | Why compact groups are dyadic? |
Valov | A note on AE(0)-spaces. |
Vaughan | On prime closed filters. |
Veksler | Narrow spaces, products of topological spaces and supertiny sequences of Szymański. |
van de Vel | Invariant arcs and fixed points. |
Vilímovský, Pelant | A new characterization of point-finite uniformities. |
Vinárek | A note on representations of rings by topological spaces. |
Vojtáš | Set-theoretic characteristic versus gaps in convergence of series and $P(\omega)/fin$. |
Waszak | Remarks on convergence in some modular spaces. |
Weiss | Partitioning topological spaces. |
Wicke | Complete exhaustive sieves and games. |
Williams | Maps from compact $X$ to itself. |
Wong | A $G_\delta$-theorem for the homeomorphism space of $n$-balls. |
Yajima | On perfect images and subspaces of certain products and their metrizations. |
Yusufov | Open mappings. |
Zanolin | A quotient-type construction of convergence groups. |
Živanovic | Sžimajuščie kompakty. |
Žižovic | Some treelike maps. |
Zsidó | A continuous selection problem in the extreme boundary theory. |
The collection comes from an album of P. Simon. It contains mostly the invited speakers during their talks.