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Research Article

$\mu_N$ DENSE SETS AND ITS NATURE

N
N. Raksha Ben PG and Research Department of Mathematics, Kamaraj College, Thoothukudi - 628003, Tamil Nadu, INDIA
G
G. Hari Siva Annam PG and Research Department of Mathematics, Kamaraj College, Thoothukudi - 628003, Tamil Nadu, INDIA
Volume 17, Issue 2 Pages 165-180 August 30, 2021 330 downloads
Article overview

Abstract

In this article we discuss the nature of contra-continuous functions in the generalized topological space via neutrosophic sets. Also we introduced a new type of set named as $\mu_N$ nowhere dense set and by making use of $\mu_N$ nowhere dense set we derive $\mu_N$ Baire Space and their features are to be discussed. The characters of $\mu_N$ rare sets also discussed briefly.

Keywords and Phrases

$\mu_N$ contra-continuous$\mu_N$ perfectly continuous$\mu_N$ dense sets$\mu_N$ Rare set$\mu_N$ Baire Spaces.

AMS Subject Classification

54C99, 54A99, 54G05.

Reference information

How to Cite

N. Raksha Ben, G. Hari Siva Annam (2021). $\mu_N$ DENSE SETS AND ITS NATURE. South East Asian Journal of Mathematics and Mathematical Sciences, 17(2), 165-180.
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