Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
On uniformly P-paracompactness of hyperspaces.
View through CrossRef
We examine the behavior of uniformly P-paracompactness under hyperspace constructions. We establish an equivalence between the uniformly
P-paracompactness of a uniform space (X,\mathcal U) and that of its compact hyperspace (\exp_cX,\exp_c\mathcal U). As a direct consequence, the same characterization is obtained for the finite hyperspace (\exp_nX,\exp_n\mathcal U).
International Journal of Mathematics and Computer Science
Title: On uniformly P-paracompactness of hyperspaces.
Description:
We examine the behavior of uniformly P-paracompactness under hyperspace constructions.
We establish an equivalence between the uniformly
P-paracompactness of a uniform space (X,\mathcal U) and that of its compact hyperspace (\exp_cX,\exp_c\mathcal U).
As a direct consequence, the same characterization is obtained for the finite hyperspace (\exp_nX,\exp_n\mathcal U).
Related Results
Decomposition, Mapping, and Sum Theorems of ω-Paracompact Topological Spaces
Decomposition, Mapping, and Sum Theorems of ω-Paracompact Topological Spaces
As a weaker form of ω-paracompactness, the notion of σ-ω-paracompactness is introduced. Furthermore, as a weaker form of σ-ω-paracompactness, the notion of feebly ω-paracompactness...
Cellular-compact and cellular-Lindelöf on hyperspaces
Cellular-compact and cellular-Lindelöf on hyperspaces
The generalized metric properties on hyperspaces with the Pixley-Roy topology and the Vietoris topology have been studied by many authors. They considered several generalized metri...
Coarse amenability versus paracompactness
Coarse amenability versus paracompactness
Recent research in coarse geometry revealed similarities between certain concepts of analysis, large scale geometry, and topology. Property A of Yu is the coarse analog of amenabil...
Soft Complete Continuity and Soft Strong Continuity in Soft Topological Spaces
Soft Complete Continuity and Soft Strong Continuity in Soft Topological Spaces
In this paper, we introduce soft complete continuity as a strong form of soft continuity and we introduce soft strong continuity as a strong form of soft complete continuity. Sever...
Parabolic quantitative rectifiability
Parabolic quantitative rectifiability
The purpose of this thesis is to develop a parabolic analog of uniform rectifiability. First, we provide a very general result concerning corona decompositions and the big pieces f...
About uniformly Menger spaces
About uniformly Menger spaces
Precompact type properties - precompactness (=totally precompactness), s-precompactness, pre-Lindelöfness, (=ℵ0-boundedness), t -boundedness - belong to the basic important invaria...
On Paracompactness of the Space CLipk(Ω)
On Paracompactness of the Space CLipk(Ω)
Abstract
By the construction C<sup>Lipk</sup>(Ω) we mean the space of all continuous complex-valued functions of class Lip<sup>k</sup...
Relatively Compactness on Some Hyperspaces Associated with Riemannian Manifolds
Relatively Compactness on Some Hyperspaces Associated with Riemannian Manifolds
In this paper, we defined relatively compactness on hyperspaces CL(X) and C(X) of Riemannian metric space and relatively compactness theorem about metric spaces in the Gromov sens...