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

John Ferwin Zamora Camargo
Bohol Island State University - Calape Campus
Bio
Published March 23, 2019
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 (ISSN: 2208-2662), 5(3), 01-08. Retrieved from https://gnpublication.org/index.php/ms/article/view/810

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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