On Kasaj topological spaces

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DOI:

https://doi.org/10.26637/MJM0804/0073

Abstract

In year 2013, L. Thivagar et al. introduced nano topological space and he analysed some properties of weak open sets. In this paper we shall introduce Kasaj-topological space. We shall introduce some new classes of
weak open sets namely Kasaj-pre-open sets and Kasaj-semi-open sets in Kasaj topological spaces and analyze their basic properties. We shall also define new types of continuous functions namely Kasaj-continuous function, Kasaj-pre-continuous function, Kasaj-semi-continuous function in Kasaj topological space.

Keywords:

Kasaj topological space, Kasaj-pre-open set, Kasaj-semi-open set.

Mathematics Subject Classification:

mathematics
  • Kashyap G. Rachchh Department of Mathematics, Institute of Infrastructure, Technology, Research and Management (IITRAM), Maninagar, Ahmedabad-380026, Gujarat, India.
  • Sajeed I. Ghanchi Department of Mathematics, Atmiya University, Rajkot-360005, Gujarat, India.
  • Pages: 1766-1770
  • Date Published: 01-01-2020
  • Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

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  • NA

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Published

01-01-2020

How to Cite

Kashyap G. Rachchh, and Sajeed I. Ghanchi. “On Kasaj Topological Spaces”. Malaya Journal of Matematik, vol. 8, no. 04, Jan. 2020, pp. 1766-70, doi:10.26637/MJM0804/0073.