On an extension of Pontryagin's duality theory.- Entropy numbers of operators in Banach spaces.- Some recent applications of ultrafilters to topology.- Some problems concerning C(X).- Generalized shape theory.- New results in uniform topology.- Topologization of Boolean algebras.- Recent development of theory of uniform spaces.- Stability of Banach algebras.- Two set-theoretic problems in topology.- Category, Boolean algebras and measure.- On rings of continuous functions.- Combinatorial properties of uniformities.- Nondiscrete mathematical induction.- Compact C-spaces and S-spaces.- A narrow view of set theoretic topology.- Some topological aspects of the theory of topological transformation groups.- Measure-preserving maps.- Categorial aspects are useful for topology.