Semi p-correspondent topologies and nowhere p dense sets
Abstract
The objective of this paper is to introduce the concept of semi p-open sets. Also we introduce the idea of nowhere p-dense sets and obtained an equivalent condition for a set to be nowhere p-dense in terms of p-open sets. We proved that any semi p-open set can be written as disjoint union of a p-open set and a nowhere p-dense set. We studied various mappings involving semi p-open sets and p-open sets and analysed the behavior of p-open sets, semi p-open sets and nowhere p-dense sets under such mappings.
Copyright © 2021 T. Vinitha, T.P. Johnson. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
T. Vinitha, T. P. Johnson, Semi p-correspondent topologies and nowhere p dense sets, J. Math. Comput. Sci. 11 (2021), 2031–2046. https://doi.org/10.28919/jmcs/5367
BibTeX
@article{Vinitha2021,
author = {Vinitha, T. and Johnson, T.P.},
title = {Semi p-correspondent topologies and nowhere p dense sets},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {2031--2046},
doi = {10.28919/jmcs/5367}
}