fγ -PSg-closed sets in Fine Topological Spaces

YMER Digital Pub Date : 2022-08-05 DOI:10.37896/ymer21.08/19
P. Powar, J. K. Maitra, R. Kushwaha
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Abstract

In this paper, we have defined a new class of sets called fγ-PS-generalized closed sets using fγ-PS-open set and fγ-PS-closure of a set in fine topological space. Also, we have defined some new functions, namely fγ-PS-g-continuous by using the fγ -PS-g-closed set and fγ-PS-g-open set in fine topological space with illustrative examples. AMS Subject Classification: 54XX, 54CXX. Key Words: Fine-open sets, fγ-PS-open sets, fγ-PS-closed sets, fγ-PS-g-continuous function.
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精细拓扑空间中的fγ - psg闭集
本文利用精细拓扑空间中集合的fγ- ps -开集和fγ- ps -闭集,定义了一类新的集,称为fγ- ps -广义闭集。同时,利用精细拓扑空间中的fγ- ps -g闭集和fγ- ps -g开集定义了若干新的函数,即fγ- ps -g连续函数,并给出了实例。AMS学科分类:54XX, 54CXX。关键词:细开集,fγ- ps -开集,fγ- ps -闭集,fγ- ps -g连续函数
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