was held on August 30 – September 4, 1966 in Prague, Czech Republic. It was organized by the Czechoslovak Academy of Sciences in cooperation with the Association of Czechoslovak Mathematicians and Physicists.
The Symposium was attended by 131 participants from 16 countries, including 41 from Czechoslovakia. The scientific programme consisted of 11 invited addresses in plenary sessions and 78 contributed papers into parallel sessions.
Most of the invited addresses and contributed papers, including a few papers presented in writing only, were published in General Topology and its Relations to Modern Analysis and Algebra II, Proceedings of the Second Prague Topological Symposium 1966 (Academia Prague, 1967).
J. C. Abbott (Annapolis), D. Adnadjevič (Beograd), P. S. Alexandroff (Moskva), R. D. Anderson (Baton Rouge), G. Aquaro (Bari), A. Arhangelskii (Moskva), M. Atsuji (Tokyo), C. E. Aull (Blacksburg), B. Banaschewski (Hamilton), L. Beran, T. N. Bhargava (Kent), R. H. Bing (Madison), V. G. Boltjanski (Moskva), H. Boseck (Greifswald), H. G. Bothe (Greifswald), D. G. Bourgin (Houston), L. Budach (Berlin), M. Bukovinská, L. Bukovský, P. Burmeister (Bonn), A. V. Černjavskij (Moskva), J. J. Charatonik (Wrocław), E. W. Cheney (Austin), G. S. Chogoshvili (Tbilisi), S. Ciampa (Pisa), Á. Császár (Budapest), K. Császár (Budapest), R. E. Demarr (Seattle), V. Dlab, I. Dobrakov, M. Dolcher (Trieste), C. H. Dowker (London), R. Duda (Wrocław), M. Duchoň, D. A. Edwards (Oxford), B. Efimov (Moskva), R. Engelking (Warszawa), G. Fichera (Roma), J. Flachsmeyer (Greifswald), Z. Frolík, K. M. Garg (Edmonton), E. Gedeonová, L. Gillman (Rochester), B. Gramsch (Mainz), H. Grell (Berlin), G. Grimeisen (Stuttgart), W. Grundmann (Weimar), N. Hadzhiivanov (Sofia), K. Hasse (Berlin), Z. Hedrlín, J. Hejcman, H. O. Herrmann (Weimar), K. H. Hofmann (New Orleans), K. Hrbáček, M. Hušek, R. Isler (Trieste), A. A. Ivanov (Leningrad), M. Jerison (Lafayette), F. B. Jones (Riverside), I. Juhász (Budapest), M. Karlowicz (Warszawa), M. Katětov, L. V. Keldysh (Moskva), J. M. Kister (Ann Arbor), I. Kluvánek, M. Kolibiar, V. Kořínek, P. Kostyrko, V. Koutník, O. Kowalski, H. Koch (Berlin), P. Kratochvíl, E. H. Kronheimer (London), F. Kuhnert (Karl-Marx-Stadt), K. Kuratowski (Warszawa), D. Kurepa (Beograd), V. I. Kuzminov (Novosibirsk), B. Levšenko (Moskva), O. V. Lokucievskij (Moskva), G. Maibaum (Dresden), Z. P. Mamuzic (Beograd), S. Mardešic (Zagreb), I. Marek, N. S. Mendelsohn (Winnipeg), J. Mioduszewski (Wrocław), L. Mišík, T. Neubrunn, V. Nollau (Dresden), J. Novák, M. Novotný, A. B. Paalman-de Miranda (Amsterdam), R. R. Phelps (Seattle), V. Ponomarev (Moskva), H. Poppe (Greifswald), I. Prodanov (Sofia), V. Pták, A. Pultr, B. Riečan, W. Rinow (Greifswald), J. Schmidt (Bonn), R. M. Schori (Baton Rouge), J. Segal (Seattle), M. Sekanina, Š. Schwarz, C. Silva-Rehermann (La Habana), L. Skula, J. van der Slot (Amsterdam), YU. M. Smirnov (Moskva), A. Sobczyk (Clemson), S. Spagnolo (Pisa), F. Speranza (Bologna), J. Srinivasan (Paris), I. Studnička, T. Šalát, M. Štěrbová, S. Švarc, I. A. Švedov (Novosibirsk), D. Zaremba-Szczepkowicz (Warszawa), H. Tamano (Kyoto), R. Telgársky, S. Tomášek, V. Trnková, J. Virsík, P. Vopěnka, H. J. Voss (Ilmenau), E. Wattel (Amsterdam), D. E. Wulbert (Austin), J. Záhora, A. V. Zarelua (Novosibirsk), S. P. Zervos (Athens), W. Želazko (Warszawa)
The table summarizes the number of participants from individual countries.
Czechoslovakia | 41 |
Germany (East 19, West 5) | 19 |
USA | 18 |
USSR | 15 |
Italy, Poland | 8 |
Yugoslavia | 4 |
Canada, Hungary, the Netherlands, United Kingdom | 3 |
Bulgaria, Japan | 2 |
Cuba, France | 1 |
The invited addresses are in boldface.
Abbott | Remarks on an Algebraic Structure for a Topology. |
Adnadjevic | On dimension dm of topological spaces. |
Alexandroff, Ponomarev | Projection-Spectra |
Anderson | Some Special Methods of Homeomorphism Theory in Infinite-Dimensional Topology. |
Aquaro | Point Countable Open Coverings in Countably Compact Spaces. |
Arhangelskii | On Some Results Concerning $k$-Spaces. |
Atsuji | Remarks on Product Spaces. |
Aull | Paracompact Subsets. |
Banaschewski | Projective Covers in Certain Categories of Topological Spaces. |
Bing | A Hereditarily Infinite Dimensional Space. |
Boltjanskii | Axiomatics of probability theory. |
Boseck | Two Classes of Almost Periodic Functions on Topological T_0-Groups. |
Bothe | Eine fixierte Kurve in $E^3$. |
Bourgin, Mendel | Circumscribing Convex Sets |
Budach | Beziehungen zwischen gewissen Topologien in Noetherschen Ringen. |
Bukovský | Borel Subsets of Metric Separable Spaces. |
Ciampa | Differential Structures. |
Chogoshvili | Direct and inverse limits of systems of groups and spaces and their applications. |
Comfort | Locally Compact Realcompactifications |
Császár Á. | Syntopogene Halbgruppen. |
Császár K. | Abgeschwächte Trennungsaxiome. |
Deák | Richtungsräume und Richtungsdimension |
Demarr | Order Structures and Topological Structures. |
Dinh-Nho-Chuöng | Preclosed Multivalued Mappings |
Dowker, Papert | On Urysohn's Lemma |
Doyle | On Finite $T_0$-Spaces |
Duda | Some New Concepts of Dimension and Their Generalization. |
Edwards | On Separation and Approximation of Real Functions Defined on a Choquet Simplex. |
Efimov | Extremal Disconnectedness and Dyadicity. |
Engelking | Quelques démonstrations nouvelles dans la théorie des ensembles boreliens. |
Flachsmeyer | Über die Realisierung von Boole-Algebren als Boole-Algebren regulär offener Mengen. |
Frolík | Baire Sets Which Are Borelian Subspaces. |
Frolík | Types of Ultrafilters on Countable Sets |
Gillman | The Space $\beta \mathbb N$ and the Continuum Hypothesis. |
Gramsch | Integration in topologischen Vektorräumen und lokal p-konvexen Algebren. |
Grimeisen | Über die Quotiententopologie als Spur der Potenz einer Topologie. |
De Groot, Strecker, Wattel | The Compactness Operator in General Topology |
Hadzhiivanov | Compactification of proximity spaces. |
Hasse | Homogene Topologien in Polynomringen. |
Hedrlín, Pultr, Trnková | Concerning a Categorial Approach to Topological and Algebraic Theories |
Hušek | Categorial Methods in Topology. |
Ivanova, Ivanov | Contiguity relations and H-closed extensions. |
Jerison | Algebras of Germs of Fourier Transforms. |
Juhász | Remarks on a Theorem of B. Pospíšil. |
Katětov M. | Convergence Structures. |
Keldysh, Černjavskij | Topological Embeddings in Euclidean Space |
Kluvánek | Characterization of Fourier-Stieltjes Transforms of Vectorvalued Measures. |
Koch | On Free Operator-p-Groups |
Koutník | On Convergence Topologies. |
Kowalski | Orbits of groups of mappings on Grassman manifolds. |
Kuhnert | Über ein Konvergenzprinzip bei Spektralzerlegungen. |
Kuratowski | On Discontinuous Selectors. |
Kurepa | On Numerical and Non-numerical Ecart. |
Kuzminov | Some properties of cohomological dimensions of compacts. |
Lelek A. | On Quasi-Components |
Levčenko, Smirnov | A property of zerodimensional metric spaces. |
Lokucievskii | On dimension theory. |
Maibaum | Zum Eigenwertproblem bei analytischen operatorwertigen Funktionen, deren Koeffizienten positive Operatoren sind. |
Mamuzic | Note sur les espaces de voisinages (V) et les ordres semitopogénes. |
Mardešic | On the Hahn-Mazurkiewicz Problem in Non-metric Spaces. |
Mioduszewski, Rudolf | A Formal Connection between Projectiveness for Compact and not Necessarily Compact Completely Regular Spaces. |
Nagata | A Survey of Dimension Theory |
Nollau | Über die Potenzen $A^\alpha (0 < \alpha <1)$ eines abgeschlossenen Operators $A$ in einem Banachraum. |
Novotný | Idealtopologien auf geordneten Mengen. |
Paalman-de Miranda | Topological Representation of Semigroups. |
Ponomarev | Two Theorems of the Descriptive Theory of Point Sets. |
Poppe | Ein Kompaktheitskriterium für Abbildungsräume mit einer verallgemeinerten uniformen Struktur. |
Prodanov | Compact representations of continuous algebraic structures. |
Pták | Extensions of Topological Spaces |
Riečan | On Measurable Sets in Topological Spaces. |
Rinow | Über die verallgemeinerten uniformen Strukturen von Morita und ihre Vervollständigung. |
Šalát | Normale Zahlen und Bairesche Kategorien von Mengen |
Schmidt | Symmetric Approach to the Fundamental Notions of General Topology. |
Schori | Universal Spaces. |
Segal | A New Dimension Type. |
Sekanina | Topologies Compatible with Ordering. |
Silva-Rehermann | Sur une généralisation de la propriété de Darboux. |
Smirnov | Proximity and Construction of Compactifications with Given Properties. |
Sobczyk | The Simple Dimension of a Topological Space. |
Shvedov | Dimension and smooth bundles. |
Zaremba-Szczepkowicz | Some Dimensional Properties of Decompositions |
Tamano | Normality and Product Spaces. |
Tomášek | Über eine Klasse lokalkonvexer Räume. |
Vopěnka | Topological methods in axiomatic theory of sets. |
Wulbert | Structure of Tchebychev Sets. |
Zarelua | On finite-to-one mappings. |
Zervos | Algebraic Generalization of the Topological Theorems of Bolzano and Weierstrass. |
The list includes all papers presented at the sessions of the Symposium (85) as well as those papers (5) accepted by the Organizing Committee which could not, for various reasons, be presented during the Symposium and were forwarded in writing only. In some cases the language and the title of the paper differ from those originally announced.
The collection of pictures concentrates on the audience and several talks. In the audience pictures one can see e.g. L. Keldysh, Z. Hedrlin, R. Anderson, A. Paalman-de Miranda, A. Csaszar, S. Mardesic, M. Calczynska-Karlowicz, R. Engelking, N. Hadzhiivanov, P. S. Alexandroff, M. Atsuji, C. H. Dowker, S. Ciampa, G. S. Chogoshvili, J. Flachsmeyer, G. Grimeisen, K. Kuratowski, A. Sobczyk, D. Kurepa.