was held on August 30 – September 3, 1971 in Prague, Czech Republic. It was organized by the Czechoslovak Academy of Sciences with support of the International Mathematical Union and in cooperation with the Slovak Academy of Sciences, the Charles University and the Association of Czechoslovak Mathematicians and Physicists.
The Symposium was attended by 158 mathematicians from 18 countries, including 51 from Czechoslovakia. The program included one hour lectures and twenty minutes communications covering the latest trends in topology; 22 invited lectures have been presented. The Symposium was closed by a speech of K. Kuratowski at a plenary session on September 3.
Most of the communications presented at the Symposium as well as a few submitted in writing only appeared in General Topology and its Relations to Modern Analysis and algebra, Proceedings of the Third Prague Topological Symposium 1971 (Academia Prague, 1972).
The table summarizes the number of participants from individual countries.
| Czechoslovakia | 51 |
| USA | 23 |
| Canada | 15 |
| Poland | 14 |
| Germany (East 5, West 5), the Netherlands | 10 |
| USSR | 8 |
| Hungary, Italy | 6 |
| United Kingdom | 4 |
| Yugoslavia | 3 |
| Austria, Greece | 2 |
| Brasil, France, India, Romania | 1 |
The invited addresses are in boldface.
| Aarts | Complementary Inductive Invariants and Dimension. |
| Alas | Uniform Continuity in Paracompact Spaces. |
| Aló | Some Tietze Type Extension Theorems. |
| Anderson | Some Open Questions in Infinite-Dimensional Topology. |
| Antonovskii | Nonsymmetric proximities, uniformities and discontinuous metrics. |
| Arhangelskii | On Cardinal Invariants. |
| Arya | Sum Theorems for Topological Spaces. |
| Aull | Point-Countable Bases and Quasi-Developments. |
| Banaschewski | On Profinite Universal Algebras. |
| Barit | Contraction of some Spaces of Homeomorphisms. |
| Bellen, Volčič | Non-Cyclic Transformations and Uniform Convergence of Picard Sequences |
| Binz | Recent Results in the Functional Analytic Investigations of Convergence Spaces. |
| Borges | Four Generalizations of Stratifiable Spaces. |
| Borsuk | Some Remarks Concerning the Theory of Shape in Arbitrary Metrizable Spaces. |
| Bothe | About $1$-Dimensional Compacta in $E^3$. |
| Charatonik | On the Fixed Point Property for Set-Valued Mappings of Hereditarily Decomposable Continua. |
| Chvalina, Sekanina | Realizations of Closure Spaces by Set Systems |
| Ciampa | On Refinement of a Metrization Theorem. |
| Comfort, Negrepontis | Continuous Functions on Products with Strong Topologies |
| Császár Á. | Hyperextensions of Topological Spaces. |
| Császár K. | H-Closed Extensions of Topological Spaces. |
| van Dalen | The Large Inductive Dimension of a Product of Connected Linearly Ordered Spaces. |
| Daneš | On Norms and Subsets of Linear Spaces. |
| Duda | One Result on Inverse Limits and Hyperspaces. |
| Efimov | On the Imbedding of Extremally Disconnected Spaces into Bicompacta |
| Flachsmeyer | Normal and Category Measures on Topological Spaces. |
| Fletcher, Lindgren | Topological Spaces which Admit a Compatible Complete Quasi-Uniformity |
| Frič | Sequential Envelope and Subspaces of the Čech-Stone Compactification. |
| Frolík | Topological Methods in Measure Theory and the Theory of Measurable Spaces. |
| Gagrat, Naimpally | Proximity Approach to Topological Problems |
| Gähler | Über $2$-Banach-Räume. |
| Garg, Naimpally | On some Pretopologies Associated with a Topology |
| Gerlits | On m-adic Spaces. |
| Gordh | On Monotone Decompositions of Smooth Continua. |
| Grimeisen | On the Saturation of a Topological Partial Algebra with Respect to a Congruence Relation. |
| de Groot | On the Topological Characterization of Manifolds. |
| Hager | Three Classes of Uniform Spaces. |
| Hajek, Strecker | Direct Limits of Hausdorff Spaces |
| Hamburger | On Internal Characterizations of Complete Regularity and Wallman-Type Compactifications. |
| Hanák | Game-Theoretical Approach to some Modifications of Generalized Topologies. |
| Hedrlín | A Universal Topological Structure. |
| Hejcman | Remarks on Dimensions of Mappings. |
| Henriksen | On Difficulties in Embedding Lattice-Ordered Integral Domains in Lattice-Ordered Fields. |
| Herrlich | A Generalization of Perfect Maps. |
| Hewitt | Harmonic Analysis and Topology. |
| Hursch, Verbeek | A Class of Connected Spaces with many Ramifications |
| Hušek | Simple Categories of Topological Spaces. |
| Isler, Tironi | On some Problems of Local Approximability in Compact Spaces |
| Ivanov, Ivanova | Continuous Mappings of Extensions of a Topological Space |
| Ivanšič | Disconnected Bounded PL Manifolds in Euclidean Spaces. |
| Jayne | Topological Representations of Measurable Spaces. |
| Jones | The Utility of Empty Inverse Limits. |
| Juhász | Cardinal Functions on Products. |
| Kannan, Rajagopalan | On Rigidity and Groups of Homeomorphisms |
| Katětov | On Descriptive Classification of Functions. |
| Kirkor | On Mild and Wicked Embeddings. |
| Kox | A Connected $T_1$-Space with the Connected Intersection Property Is a Tree-Like Space. |
| Kolomý | Some Mapping and Fixed Point Theorems. |
| Koutník | On some Convergence Closures Generated by Functions. |
| Kratochvíl | On a Convergence Property of Set Algebras. |
| Krikelis | On Condensation Numbers. |
| Kronheimer | Very Unlatticelike Ordered Spaces. |
| Kučera, Pultr | On a Mechanism of Choosing Morphisms in Concrete Categories |
| Kučera, Pultr | The Category of Compact Hausdorff Spaces is not Algebraic if There Are Too Many Measurable Cardinals |
| Kuratowski | A General Approach to the Theory of Set-Valued Mappings. |
| Kurepa | Factorials and the General Continuum Hypothesis |
| Lokutsievskii | A Note on Fixed Point Property. |
| Magill | Semigroups and Near-Rings of Continuous Functions. |
| Makai | The Space of Bounded Maps into a Banach Space. |
| Maltsev | Iterated algebras on a topological space. |
| Mardešic | A Survey of the Shape Theory of Compacta. |
| Meyer | On Total Orderings in Topology. |
| Michael | On Two Theorems of V. V. Filippov. |
| Mioduszewski | On a Method which Leads to Extremally Disconnected Covers. |
| Mitiagin | Homotopical Structure of Linear Groups of Banach Spaces. |
| Mlček | L'espace $\beta X$. |
| Musielak, Waszak | A Contribution to the Theory of Modular Spaces. |
| Nagata | A Survey of the Theory of Generalized Metric Spaces. |
| Negrepontis | Ramification Systems and Spaces of Ultrafilters. |
| Novák | On Completions of Convergence Commutative Groups. |
| Nyikos | Strongly Zero-Dimensional Spaces. |
| Pietsch | Ideals of Operators on Banach Spaces and Nuclear Locally Convex Spaces. |
| Popa | Un théoréme du graphe Mackey-fermé. |
| Poppe | A Compactness Criterion for Hausdorff Admissible (Jointly Continuous) Convergence Structures in Function Spaces. |
| Preiss | Metric Spaces in which Prohorov's Theorem Is not Valid. |
| Preuss | A Categorical Generalization of Completely Hausdorff Spaces. |
| Pták V. | Banach Algebras with Involution. |
| Reiterman, Trnková | When Categories of Presheaves Are Binding |
| Riečan | On Topological Entropy. |
| Rishel | Nice Spaces, Nice Maps. |
| Rudin | Box Products |
| Schaerf | Cardinalities of Bases. |
| Segal | On the Shape Classification of Manifold-Like Continua. |
| Sennott | Extending Point-Finite Covers |
| Simon | A Note on Rudin's Example of Dowker Space. |
| Skula | Die Fortsetzung stetiger Homomorphismen von $\delta$-Halb-gruppen. |
| Smith | Properties of Expandable Spaces. |
| Steiner A. K. | On the Lattice of Topologies. |
| Swaminathan | On a Closed Range Theorem for Nonlinear Operators. |
| Tall | Some Set-Theoretic Consistency Results in Topology. |
| Taylor J. C. | The Martin Compactification in Axiomatic Potential Theory. |
| Taylor | A Criterion for the Metrizability of a Compact Convex Set in Terms of the Set of Extreme Points. |
| Telgársky | Covering Properties and Product Spaces. |
| Tichomirov, Tumarkin | Urysohn diameters of $n$-dimensional Euclidean spheres. |
| Vlach | Separation Properties of Families of Convex Sets in Linear Topological Spaces. |
| Vopěnka | Théorie des demiensembles. |
| Wattel | A General Fixed Point Theorem. |
| West | Identifying Hilbert Cubes: General Methods and their Application to Hyperspaces. |
| Wichterle | Relations between $B$-Completeness and $m$-Paracompactness. |
| Wong | On Homeomorphisms of Infinite Dimensional Bundles. |
| Zarelua | On Infinite-Dimensional Spaces. |
| Zaremba | On Pseudo-Open Mappings. |
| Zenor | Spaces with Regular $G_\delta$-Diagonals. |
| Zervos | Lattices and Topology. |
| Zizler | On Extremal Structure of Weakly Locally Compact Convex Sets in Banach Spaces. |
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