Abstract

In this paper, we propose a new formula to get N-topologies in a non empty set X. Further, we establish its own open sets. We, in addition to it, study its characterizations. Apart from this, we have also introduced continuous functions on such topological spaces and establish their basic properties and prove the Pasting Lemma.

Details

Title
On new structure of N-topology
Author
M Lellis Thivagar 1   VIAFID ORCID Logo  ; Ramesh, V 1 ; Dasan, M Arockia 1 

1  School of Mathematics, Madurai Kamaraj University, Madurai 625021, Tamil Nadu, India 
Publication year
2016
Publication date
Dec 2016
Publisher
Taylor & Francis Ltd.
e-ISSN
23311835
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1080/23311835.2016.1204104
ProQuest document ID
1878130264
Copyright
© 2016 The Author(s). This open access article is distributed under a Creative Commons Attribution (CC-BY) 4.0 license. This work is licensed under the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.