On the Čech-Completeness of the Space of τ-Smooth Idempotent Probability Measures

被引：0

作者：

Kocinac, Ljubisa D. R. ^{[1
,2
]}

Zaitov, Adilbek A. ^{[3
]}

Eshimbetov, Muzaffar R. ^{[4
,5
]}

机构：

[1] Univ Nis, Fac Sci & Math, Nish 18000, Serbia

[2] State Univ Novi Pazar, Dept Math, Novi Pazar 36300, Serbia

[3] Tashkent Univ Architecture & Civil Engn, Dept Math & Nat Disciplines, Yangi Shahar Str 9, Tashkent 100194, Uzbekistan

[4] Uzbek Acad Sci, VI Romanovskiy Inst Math, Univ Str 9, Tashkent 100174, Uzbekistan

[5] Tashkent Int Univ Financial Management & Technol, Dept Math, Amir Temur Str 15, Tashkent 100047, Uzbekistan

来源：

AXIOMS | 2024年 / 13卷 / 08期

关键词：

& Ccaron; ech-complete space; compact space; probability measure; tau-smooth idempotent probability measure; neighbourhood system; FUNCTOR;

D O I：

10.3390/axioms13080569

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the set I(X) of probability measures on a compact Hausdorff space X, we propose a new way to introduce the topology by using the open subsets of the space X. Then, among other things, we give a new proof that for a compact Hausdorff space X, the space I(X) is also a compact Hausdorff space. For a Tychonoff space X, we consider the topological space I-tau(X) of tau-smooth idempotent probability measures on X and show that the space I-tau(X) is & Ccaron;ech-complete if and only if the given space X is & Ccaron;ech-complete.

引用

页数：13

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