S-Metacompact Spaces

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Semi-open sets in topological spaces was introduced by Levine in 1963. In 2006, Al-Zoubi introduced the concept of S-paracompact spaces using locally finite semi-open refinement and studied some characterizations and basic properties of S-paracompact spaces. In this paper we introduce the class of S-metacompact spaces as a generalization of metacompact spaces using point finite semi-open refinements. A topological space (X, τ) is said to be S-metacompact if every open cover of X has a point finite semi-open refinement. Moreover we obtain a characterization of S-metacompact spaces and study some basic properties of S-metacompact spaces. Also we investigate the relationship between S-metacompact spaces and metacompact spaces.

Original languageEnglish
Title of host publicationComputational Sciences – Modelling, Computing and Soft Computing - First International Conference, CSMCS 2020, Revised Selected Papers
EditorsAshish Awasthi, Sunil Jacob John, Satyananda Panda
PublisherSpringer Science and Business Media Deutschland GmbH
Pages186-191
Number of pages6
ISBN (Print)9789811647710
DOIs
Publication statusPublished - 2021
Event1st International Conference on Computational Sciences - Modelling, Computing and Soft Computing, CSMCS 2020 - Virtual, Online
Duration: 10-09-202012-09-2020

Publication series

NameCommunications in Computer and Information Science
Volume1345
ISSN (Print)1865-0929
ISSN (Electronic)1865-0937

Conference

Conference1st International Conference on Computational Sciences - Modelling, Computing and Soft Computing, CSMCS 2020
CityVirtual, Online
Period10-09-2012-09-20

All Science Journal Classification (ASJC) codes

  • General Computer Science
  • General Mathematics

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