Lipschitz extensions and Lipschitz retractions in metric spaces
Metrizable completely distributive lattices
The purpose of this paper is to study the topological properties of the interval topology on a completely distributive lattice. The main result is that a metrizable completely distributive lattice is an ANR if and only if it contains at most finite completely compact elements.
Mod p Retracts of G-Products Spaces.
Monotone retracts of an arcwise connected continuum
Mutational retracts and extensions of mutations
Non existence de relèvement pour certaines mesures finiement additives et retractés de ...N.
Notes on Retracts of Coset Spaces
We study retracts of coset spaces. We prove that in certain spaces the set of points that are contained in a component of dimension less than or equal to n, is a closed set. Using our techniques we are able to provide new examples of homogeneous spaces that are not coset spaces. We provide an example of a compact homogeneous space which is not a coset space. We further provide an example of a compact metrizable space which is a retract of a homogeneous compact space, but which is not a retract of...
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