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 $P_f(X)$ 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 $P_f$: Comp→Comp. We show that the functor $P_f$ 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.