On Some Cardinal Properties of the Space Pf(X) of Probability Measures
Year: 2024
Author: Shavkat Ayupov, Nodirbek Mamadaliev
Communications in Mathematical Research , Vol. 40 (2024), Iss. 4 : pp. 383–399
Abstract
In this paper, given a compact space X, we construct a continuous mapping from the space Pf(X) of all probability measures on X into the space of maximal linked systems of closed subsets of X. Also, we investigate the behavior of the functional tightness and the local density of topological spaces under the action of the functor Pf: Comp→Comp. We show that the functor Pf does not change the functional tightness and the local density of compact spaces.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmr.2024-0036
Communications in Mathematical Research , Vol. 40 (2024), Iss. 4 : pp. 383–399
Published online: 2024-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Probability measure functional tightness local density normal functor superextension.
Author Details
Shavkat Ayupov Email
Nodirbek Mamadaliev Email