Selective version of star-semi-Lindelöfness in $(a)$ topological spaces

Rok, strany: 2022, 39 - 56

In this paper, we deal with the properties $(a)R$-star-semi-Lindelöf and $(a)M$-star-semi-Lindelöf in $(a)$topological spaces. These properties are interesting as every $(a)R^s$-separable space is $(a)R$-star-semi-Lindelöf and every $(a)^s$-semi-Lindelöf space is $(a)R$-star-semi-Lindelöf but not every $(a)R$-star-semi-Lindelöf space is $(a)R^s$-separable or $(a)^s$-semi-Lindelöf. It is shown that if an $(a)$topological space $X$ is the union of countably many $(a)$-open and $(a)R$star-semi-Lindelöf subspaces, then $X$ is $(a)R$-star-semi-Lindelöf. Similar results are obtained in the context of $(a)M$-star-semi-Lindelöf spaces. Further, suitable and required counterexamples are given.

ISO 690:

Luthra, S., Chauhan, H., Tyagi, B. 2022. Selective version of star-semi-Lindelöfness in $(a)$ topological spaces. In Tatra Mountains Mathematical Publications, vol. 81, no.1, pp. 39-56. 1210-3195. DOI: https://doi.org/ 10.2478/tmmp-2022-0002

APA:

Luthra, S., Chauhan, H., Tyagi, B. (2022). Selective version of star-semi-Lindelöfness in $(a)$ topological spaces. Tatra Mountains Mathematical Publications, 81(1), 39-56. 1210-3195. DOI: https://doi.org/ 10.2478/tmmp-2022-0002

Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava

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