Continuity on approximation spaces
Abstract
The present paper investigates some of the properties of the induced topology on generalized approximation spaces. The properties of the induced topology are characterized in terms of the type of the binary relation used. Also, the conditions upon which the induced topology will be an indiscrete or a discrete one are derived. Besides, the separation axioms on the induced topological space are studied. Moreover, characterization theorems for continuity of a function and homeomorphism are explored.
Copyright © 2021 T. K. Sheeja, A. Sunny Kuriakose. 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. K. Sheeja, A. S. Kuriakose, Continuity on approximation spaces, J. Math. Comput. Sci. 11 (2021), 4104–4117. https://doi.org/10.28919/jmcs/5816
BibTeX
@article{Sheeja2021,
author = {Sheeja, T. K. and Kuriakose, A. Sunny},
title = {Continuity on approximation spaces},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {4104--4117},
doi = {10.28919/jmcs/5816}
}