w-Functions in Topological Spaces

Authors

  • Massuodah Saad Tarjam Department of Mathematics, Science Faculty, Tripoli University, Libya
  • Khairia Mohamed Mira Department of Mathematics, Science Faculty, Tripoli University, Libya
  • Khadiga Salem Abdeen Department of Mathematics, Science Faculty, Tripoli University, Libya

Keywords:

w-open (closed) set, α-continuous function, semi-continuous function, pre-continuous function, κ-irresolute functions, for κ∈{α,semi,pre}

Abstract

The purpose of this research is to explore the properties of w-open sets and extend the concepts of interior and closure operators through these sets. Furthermore, we define new classes of functions in topological spaces, such as w-continuous, w-irresolute, w-open, and w-closed functions, and analyzing their characteristics and the relationships between them.

Dimensions

Published

2025-02-08

How to Cite

Massuodah Saad Tarjam, Khairia Mohamed Mira, & Khadiga Salem Abdeen. (2025). w-Functions in Topological Spaces. African Journal of Advanced Pure and Applied Sciences (AJAPAS), 4(1), 218–224. Retrieved from https://aaasjournals.com/index.php/ajapas/article/view/1129

Issue

Volume 4, Issue 1, January- March 2025

Section

Articles
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