Some questions on the composition factor property for atomic mappings.
Some questions related to hyperspaces
Some random coincidence and random fixed point theorems for hybrid contractions.
Some recent applications of ultrafilters to topology
Some recent results concerning weak Asplund spaces
Some refinements of a selection theorem with O-dimensional domain
The following known selection theorem is sharpened, primarily, by weakening the hypothesis that all the sets φ(x) are closed in Y: Let X be paracompact with dimX = 0, let Y be completely metrizable and let φ:X → 𝓕(Y) be l.s.c. Then φ has a selection.
Some relations between shape constructions
Some relations between topological and algebraic properties of topological groups
Some relative properties on normality and paracompactness, and their absolute embeddings
Paracompactness (-paracompactness) and normality of a subspace in a space defined by Arhangel’skii and Genedi [4] are fundamental in the study of relative topological properties ([2], [3]). These notions have been investigated by primary using of the notion of weak - or weak -embeddings, which are extension properties of functions defined in [2] or [18]. In fact, Bella and Yaschenko [8] characterized Tychonoff spaces which are normal in every larger Tychonoff space, and this result is essentially...
Some relative topological properties
Some remarks about bijections onto metric spaces
Some remarks about metric spaces, spherical mappings, functions and their derivatives.
If p ∈ Rn, then we have the radial projection map from Rn {p} onto a sphere. Sometimes one can construct similar mappings on metric spaces even when the space is nontrivially different from Euclidean space, so that the existence of such a mapping becomes a sign of approximately Euclidean geometry. The existence of such spherical mappings can be used to derive estimates for the values of a function in terms of its gradient, which can then be used to derive Sobolev inequalities, etc. In this paper...
Some remarks about strong proximality of compact flows
This note aims at providing some information about the concept of a strongly proximal compact transformation semigroup. In the affine case, a unified approach to some known results is given. It is also pointed out that a compact flow (X,𝓢) is strongly proximal if (and only if) it is proximal and every point of X has an 𝓢-strongly proximal neighborhood in X. An essential ingredient, in the affine as well as in the nonaffine case, turns out to be the existence of a unique minimal subset.
Some remarks concerning stable attractors
Some remarks concerning the fundamental dimension of the cartesian product of two compacta
Some remarks concerning the shape of pointed compacta
Some remarks concerning the theory of shape in arbitrary metrizable spaces
Some remarks on almost continuous functions
Some remarks on almost Lindel{ö}f spaces and weakly Lindel{ö}f spaces
Some remarks on almost radiality in function spaces