Set star-Menger and set strongly star-Menger spaces

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

Published

2022-02-16

Issue

Vol. 72 No. 1 (2022): Mathematica Slovaca

Section

Articles - Other topics