International Journal For Research In Mathematics And Statistics

Vol. 5 No. 3 (2019): International Journal For Research In Mathematics And Statistics (ISSN: 2208-2662)
Articles

The Some Properties of Beta Hat Generalized Closed Set in Generalized Topological Spaces

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  • John Ferwin Zamora Camargo
John Ferwin Zamora Camargo
College of Teacher Education, Bohol Island State University, Calape Campus, 6323 San Isidro, Calape, Bohol, Philippines
DOI: https://doi.org/10.53555/ms.v5i3.810

Published 2019-03-31

Keywords

  • closed set,
  • generalized topological spaces,
  • beta hat generalized closed set,
  • topology

How to Cite

Camargo, J. F. Z. (2019). The Some Properties of Beta Hat Generalized Closed Set in Generalized Topological Spaces. International Journal For Research In Mathematics And Statistics, 5(3), 01–08. https://doi.org/10.53555/ms.v5i3.810

Copyright (c) 2019 International Journal For Research In Mathematics And Statistics (ISSN: 2208-2662)

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Abstract

This study introduced the concept of beta hat generalized closed set in generalized topological spaces. It also investigated related concepts such as - -interior and - -closure of a set. This paper proved that every -open (resp. -closed) set is - -open (resp. - -closed). It is also shown that the family of all - -open subsets in X does not always form a generalized topology in X. Moreover, - -closure of set is smaller than -closure while the - -interior is generally larger than its -interior.

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