Home 9 Author: O. Nethaji
O. Nethaji
Open AccessArticle

Functions and its implications on ζ -nano topological space

Annals of Communications in Mathematics 2022

, 5 (3)

, 145-152

DOI: https://doi.org/10.62072/acm.2022.050302

AbstractIn this paper, we are studying about a function’s between domain ζ-nano topological spaces and codomain nano topological spaces which means every nano topology has its inverse image in ζ-nano topology(i.e., ζ-continuous). We establish the ζcluster point in ζ-continuous. We search image from a ζ-open sets (ζ-closed set) to a nano open sets(nano closed sets) is called a ζ-open map(ζ-closed map). Finally, some of the results are portrayed with these ζ-continuity with N -continuity and we extended to ζ-homeomorphism.
Open AccessArticle

Some improvised sets in Grill topological spaces

Annals of Communications in Mathematics 2022

, 5 (3)

, 207-211

DOI: https://doi.org/10.62072/acm.2022.050307

AbstractAim of this paper, the new grill notions are studied using grill topological spaces and by using some defined sets where the sets Gt-set and GR-set are defined. Properties of this set and some relationships are investigated and deal with a grill topological spaces.