On star-K-$\mathcal{I}$-Hurewicz property

Rok, strany: 2021, 157 - 166

A space X is said to have the star-K-$ \mathcal{I} $-Hurewicz property (SK$\mathcal{I}$H) [{\textsc{Tyagi, B. K.—Singh, S.—Bhardwaj, M.}} \textit{Ideal analogues of some variants of Hurewicz property}, Filomat \textbf{33} (2019), no. 9, 2725–2734] if for each sequence $(\mathcal{U}_n: n \in \mathbb{N})$ of open covers of X there is a sequence $ (K_n: n \in \mathbb{N}) $ of compact subsets of X such that for each $ x \in X $, $\{n \in \mathbb{N}: x \notin St(K_n, \mathcal{U}_n)\} \in \mathcal{I}$, where $ \mathcal{I} $ is the proper admissible ideal of $ \mathbb{N} $. In this paper, we continue to investigate the relationship between the SK$ \mathcal{I} $H property and other related properties and study the topological properties of the SK$ \mathcal{I} $H property.

ISO 690:

Singh, S., Chauhan, H., Kumar, V. 2021. On star-K-$\mathcal{I}$-Hurewicz property. In Tatra Mountains Mathematical Publications, vol. 78, no.1, pp. 157-166. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0011

APA:

Singh, S., Chauhan, H., Kumar, V. (2021). On star-K-$\mathcal{I}$-Hurewicz property. Tatra Mountains Mathematical Publications, 78(1), 157-166. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0011

Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava

https://creativecommons.org/licenses/by-nc-nd/4.0/