NEW SORT OF NEIGHBOURHOOD AND DERIVED SETS IN MILLI TOPOLOGICAL SPACES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 108

Volume : 19 , Issue : 3
DOI: https://doi.org/10.56827/SEAJMMS.2023.1903.15
Author :
Basavaraj M Ittanagi (Department of Mathematics, Siddaganga Institute of Technology, Tumakuru - 572103, Karnataka, INDIA)
M. Lellis Thivagar (Madurai Kamaraj University, Madurai - 625021, Tamil Nadu, INDIA)
Sunil Jacob John (Department of Mathematics, NIT Calicut, Calicut - 673601, Kerala, INDIA)
Saeid Jafari (College of Vestsjaelland South and Mathematical and Physical Science Foundation, 4200 Slagelse, DENMARK)
Chetana C. (Department of Mathematics, Sri Siddhartha Institute of Technology, SSAHE, Tumakuru - 572105, Karnataka, INDIA)

Abstract

This manuscript aims to define several models in milli topological spaces. This approach extends the scope of applications in topology. Firstly, we generate a new class of milli neighbourhood of a point, milli neighbourhood of a set and milli neighbourhood system in milli topological spaces. We elucidate the relationship between them and investigate the conditions under which some of them are identical. Then we create the notion of milli limit points, milli derived sets and milli dense sets. We also introduce new types of sets namely milli clopen sets, milli extremely disconnected sets and milli door space in milli topological spaces. Moreover, we investigate some of their basic properties.

Keywords and Phrases

Milli limit point, milli dense set and milli door space.

A.M.S. subject classification

54A05, 54B05.

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