On a plane compactum with the maximal shape
On a problem of Banach
On a problem of Lelek concerning open mappings
On bicompacta in -products and related spaces
On certain homological properties of finite-dimensional compacta. Carriers, minimal carriers and bubbles
On classification of weakly infinite-dimensional compacta
On confluently graph-like compacta
For any class 𝒦 of compacta and any compactum X we say that: (a) X is confluently 𝒦-representable if X is homeomorphic to the inverse limit of an inverse sequence of members of 𝒦 with confluent bonding mappings, and (b) X is confluently 𝒦-like provided that X admits, for every ε >0, a confluent ε-mapping onto a member of 𝒦. The symbol 𝕃ℂ stands for the class of all locally connected compacta. It is proved in this paper that for each compactum X and each family 𝒦 of graphs, X is confluently...
On convex metric spaces II
On decomposition of projections of finite order
On fundamental deformation retracts and on some related notions
On hereditarily indecomposable compacta
On local isometries and isometries in metric spaces
On locally expansive selfcoverings of compact metrizable spaces
On medial properties of maps
On pairs of compacta with dim(X×Y) < dimX + dimY
On shapes of topological spaces
On spaces which have the shape of C. W. complexes
On spaces which have the shape of compact metric spaces
On subcompactness and countable subcompactness of metrizable spaces in ZF
We show in ZF that: (i) Every subcompact metrizable space is completely metrizable, and every completely metrizable space is countably subcompact. (ii) A metrizable space is countably compact if and only if it is countably subcompact relative to . (iii) For every metrizable space , the following are equivalent: (a) is compact; (b) for every open filter of , ; (c) is subcompact relative to . We also show: (iv) The negation of each of the statements, (a) every countably subcompact metrizable...
On the classification of locally compact separable metric spaces