Some Alternative Interpretations of Strongly Star Semi-Rothberger and Related Spaces

Susmita Sarkar; Prasenjit Bal

doi:10.2478/tmmp-2024-0003

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Some Alternative Interpretations of Strongly Star Semi-Rothberger and Related Spaces

Tatra Mountains Mathematical Publications

Volume 86 (2024): Issue 1 (September 2024)

By: Susmita Sarkar and Prasenjit Bal

Open Access

|Apr 2024

Abstract

In this article, some under-appreciated characteristics of strongly star-Rothberger subsets are explored. Additionally, with the aid of the SSI property and MSSI property, semi-Rothberger and star semi-Rothberger spaces are represented by families of closed sets. Finally, several selection principle like attributes are produced that can reflect the previously mentioned sequential covering features in an inverted form.

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2024-0003 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 21 - 30

Submitted on: Jun 1, 2023

Accepted on: Dec 20, 2023

Published on: Apr 13, 2024

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

star Rothberger space,

semi-open sets,

star semi-Rothberger space,

finite intersection property,

selection principles

Related subjects:

Mathematics,

General mathematics

© 2024 Susmita Sarkar, Prasenjit Bal, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 86 (2024): Issue 1 (September 2024)