Journal of Multi Disciplinary Engineering Technologies

Volume 18 • Issue 02 • Published: May 2025 • ISSN (Print): 0974-1771 • ISSN (Online): 2581-9372

Some properties of semi-continuous function in topological space

Priti Kumari¹, Lokesh Kumar^1*

¹ Department of Mathematics, S. M. College, Bhagalpur, Bihar-812001, India.

*Corresponding author(s): lokeshkmath@gmail.com

Contributing authors: pritimath88@gmail.com

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Abstract

The research paper aims to introduce the concept of a semi-continuous function in topological spaces. Furthermore, we explore some fundamental properties of these semi-continuous functions as well as weak-functions, in relation to semi-open sets defined by N. Levine. Additionally, this work yields some new decomposition of generalized continuous functions.

Keywords

Open set Closed set Interior Closure Semi-open set Semi-closed set

Article information

Journal: Journal of Multi Disciplinary Engineering Technologies

Volume / Issue: 18 / 02

Published: May 2025

ISSN (Print): 0974-1771

ISSN (Online): 2581-9372