On Some Cardinal Properties of the Space P_(f)(X) of Probability Measures  

作　　者：Shavkat Ayupov Nodirbek Mamadaliev 

机构地区：[1]V.I.Romanovskiy Institute of Mathematics Uzbekistan,Academy of Sciences,Tashkent 100174,Uzbekistan [2]National University of Uzbekistan,Tashkent 100174,Uzbekistan.

出　　处：《Communications in Mathematical Research》2024年第4期383-399,共17页数学研究通讯(英文版)

摘　　要：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.

关 键 词：Probability measure functional tightness local density normal functor su-perextension. 

分 类 号：O17[理学—数学]