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Asian Journal of Information Technology

ISSN: Online 1993-5994
ISSN: Print 1682-3915
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On βg (θ) Coenvergence and Adherence in Topological Spaces via Grill

K. Kannan and N. Nagaveni
Page: 333-336 | Received 21 Sep 2022, Published online: 21 Sep 2022

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Abstract

A new class of sets called β-generalized closed sets and β-generalized open sets in topological spaces and its properties are studied. A subset A of a topological spaces (X, τ) is called β-generalized closed sets (briefly βg-closed) if cl(int(cl(A))) contains U whenever A contains U and U is open in X. A new class of βg-continuous maps and βg-irresolute maps in topological spaces and study some of its basic properties. In this study, we introduce the notion of βg (θ) convergence and βg (θ)-adherence in grill topological spaces and study some of its basic properties and relations among them.


How to cite this article:

K. Kannan and N. Nagaveni. On βg (θ) Coenvergence and Adherence in Topological Spaces via Grill.
DOI: https://doi.org/10.36478/ajit.2017.333.336
URL: https://www.makhillpublications.co/view-article/1682-3915/ajit.2017.333.336