@Article{CMR-40-383,
author = {Ayupov , Shavkat and Mamadaliev , Nodirbek},
title = {On Some Cardinal Properties of the Space $P_f(X)$ of Probability Measures},
journal = {Communications in Mathematical Research },
year = {2024},
volume = {40},
number = {4},
pages = {383--399},
abstract = {<p style="text-align: justify;">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 $P_f$: <em>Comp</em>→<em>Comp</em>. We show that the functor $P_f$ does not change the functional tightness and the local density of compact
spaces.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.4208/cmr.2024-0036},
url = {http://global-sci.org/intro/article_detail/cmr/23698.html}
}