On a plane compactum with the maximal shape
On a question of Borsuk concerning non-continuous retracts II
On a question of Borsuk concerning non-continuous retracts I
On Aumann's theorem that the circle does not admit a mean
On barycentrically soft 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 non-separable 0-dimensional metrizable spaces
On regular Stein neighborhoods of a union of two totally real planes in ℂ²
We find regular Stein neighborhoods of a union of totally real planes M = (A+iI)ℝ² and N = ℝ² in ℂ², provided that the entries of a real 2 × 2 matrix A are sufficiently small. A key step in our proof is a local construction of a suitable function ρ near the origin. The sublevel sets of ρ are strongly Levi pseudoconvex and admit strong deformation retraction to M ∪ N.
On shape and fundamental deformation retracts
On shape and fundamental deformation retracts II
On some applications of infinite-dimensional manifolds to the theory of shape
On some problems of Borsuk
On spaces with binary normal subbase
On van Douwen spaces and retracts of
Eric van Douwen produced in 1993 a maximal crowded extremally disconnected regular space and showed that its Stone-Čech compactification is an at most two-to-one image of . We prove that there are non-homeomorphic such images. We also develop some related properties of spaces which are absolute retracts of expanding on earlier work of Balcar and Błaszczyk (1990) and Simon (1987).
On vector-topological properties of zero-neighbourhoods of topological vector spaces
Orientability of total spaces of fibre bundles over