Set star-Menger and set strongly star-Menger spaces

Ljubiˇsa D. R. Koˇcinac; Şukran Konca; Sumit Singh

doi:10.1515/ms-2022-0013

Authors

Ljubiˇsa D. R. Koˇcinac University of Niˇs
Şukran Konca Izmir Bakircay University
Sumit Singh University of Delhi

DOI:

https://doi.org/10.1515/ms-2022-0013

Keywords:

Menger, star-Menger, strongly star-Menger, set star-Menger, set strongly star-Menger

Abstract

Motivated by the Arhangeľskii "s-Lindelöf cardinal function" definition, Kočinac and Konca defined and studied set covering properties and set star covering properties. In this paper, we present results on the star covering properties called set star-Menger and set strongly star-Menger. We investigate the relationship among set star-Menger, set strongly star-Menger and other related properties and study the topological properties of set star-Menger and set strongly star-Menger properties.

Author Biographies

Ljubiˇsa D. R. Koˇcinac, University of Niˇs

Faculty of Sciences and Mathematics
University of Niš
Višegradska 33
18000 Niš
SERBIA

Şukran Konca, Izmir Bakircay University

Department of Fundamental Sciences/Mathematics
Faculty of Engineering and Architecture
Izmir Bakircay University
35665 Izmir
TURKEY

Sumit Singh, University of Delhi

Department of Mathematics
University of Delhi
110007 New Delhi
INDIA