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

Authors

  • 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

Keywords:

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

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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Published

2019-03-31

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

Issue

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

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Articles

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

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