Vol. 25 No. 2 (2026): Mapana Journal of Sciences
Research Articles

Ggβ*- Compactness in Grill Topological Spaces

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  • Gomathi Rajakumari P.,
  • Jessie Theodore
Gomathi Rajakumari P.
Department of Mathematics and Research Centre, Sarah Tucker College, Tirunveli - 7 (Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunveli - 12, Tamil Nadu, India)
Jessie Theodore
Department of Mathematics and Research Centre, Sarah Tucker College, Tirunelveli - 7, (Affiliated to Manonmaniam Sundarnar University, Abishekapatti, Tirunveli - 12, Tamil Nadu, India)
DOI: https://doi.org/10.12723/mjs.77.10

Published 2026-07-16

Keywords

  • Ggβ* - closed set,
  • Ggβ* - open cover,
  • Ggβ* - compact,
  • Ggβ* - continuous function,
  • Grill Topological Spaces

Copyright (c) 2026

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Abstract

In this paper, we have introduced and investigated the characterizations of Ggβ*- compact space in Grill Topological Spaces. Also compact modulo-Ggβ*- space and countably - Ggβ* - compact space are introduced. Some of the equivalent conditions and properties of these spaces are discussed, specially pointing on their characterization under Ggβ* - continuous function and Ggβ* - open covers. The relationship between the new spaces are discovered. 

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