<abstract xmlns="http://www.w3.org/1999/xhtml">

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

On Star-K-<italic>I</italic>-Hurewicz Property

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":{"italic":"I","content":["On Star-K-","-Hurewicz Property"]}}

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,...

On Star-K-I-Hurewicz Property

Published Online: Jan 01, 2022

Page range: 157 - 166

Received: Oct 12, 2020

DOI: https://doi.org/10.2478/tmmp-2021-0011

Keywords
Hurewicz, star-K--Hurewicz, star-K-Hurewicz, ideal, covering, star-covering, topological space

© 2021 Mathematical Institute, Slovak Academy of Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

On Star-K-I-Hurewicz Property

Published Online: Jan 01, 2022

Page range: 157 - 166

Received: Oct 12, 2020

DOI: https://doi.org/10.2478/tmmp-2021-0011

KeywordsHurewicz, star-K--Hurewicz, star-K-Hurewicz, ideal, covering, star-covering, topological space

© 2021 Mathematical Institute, Slovak Academy of Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Hurewicz, star-K--Hurewicz, star-K-Hurewicz, ideal, covering, star-covering, topological space