Work

On Some Cardinal Properties of the Space $P_f(X)$ of Probability Measures

Year: 2024

Type: article

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.

Source: Communications in Mathematical Research

DOI: 10.4208/cmr.2024-0036

Authors: Shavkat Ayupov, Nodirbek Mamadaliev

Institutions: Academy of Sciences Republic of Uzbekistan, National University of Uzbekistan

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4403371772

FWCI: 0.7

Cites: 10

Cited by: 1

Related to: 10