关于Star-K-I-Hurewicz性质

Q4 Mathematics

Tatra Mountains Mathematical Publications Pub Date : 2021-10-01 DOI:10.2478/tmmp-2021-0011

Sumit Singh, Harsh V. S. Chauhan, Vikesh Kumar

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引用次数: 1

摘要

摘要空间X被认为具有星-K-I-Hurewicz性质（SKIH）[Tyagi，B.K.-Singh，S.-Bardwaj，M.Hurewicz性质的一些变体的理想类似物，Filomat 33（2019），no.92725-2734]如果对于每个序列（Un:n∈ℕ) 对于X的开覆盖，存在一个序列（Kn:n∈ℕ) X的紧致子集使得对于每个X∈Xℕ : x∉St（Kn，Un）}∈I，其中I是ℕ. 在本文中，我们继续研究了SKIH性质与其他相关性质之间的关系，并研究了SKIH性质的拓扑性质。

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On Star-K-I-Hurewicz Property

Abstract A space X is said to have the star-K-I-Hurewicz property (SKIH) [Tyagi, B. K.—Singh, S.—Bhardwaj, M. Ideal analogues of some variants of Hurewicz property, Filomat 33 (2019), no. 9, 2725–2734] if for each sequence (Un : n ∈ ℕ) of open covers of X there is a sequence (Kn : n ∈ ℕ) of compact subsets of X such that for each x ∈ X, {n ∈ ℕ : x ∉ St(Kn, Un)} ∈ I, where I is the proper admissible ideal of ℕ. In this paper, we continue to investigate the relationship between the SKIH property and other related properties and study the topological properties of the SKIH property.

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来源期刊

Tatra Mountains Mathematical Publications Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

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