On $\beta-\gamma$-connectedness and $ \beta_{(\gamma,\delta)}$-continuous functions

Sanjay Tahiliani; Mershia Rabuni

doi:10.26637/mjm1203/004

Abstract

The aim of the paper is to introduce the notion of $\beta-\gamma$-separated sets and study their properties in topological spaces,then we introduce the notation of $\beta-\gamma$-connected and $\beta-\gamma$-disconnectedness. Also, $\beta-\gamma$-disconnected spaces are defined through $\beta-\gamma$-separated sets and their topological properties are studied. The characterizations of $\beta-\gamma$-connected spaces and their behaviour under $ \beta_{(\gamma,\delta)}$-continuous functions are analysed. The notions of $\beta-\gamma$-components in a space $X$ and $\beta-\gamma$-locally connected spaces are also introduced.

Keywords:

Operation, $\beta_{(\gamma,\delta)}$-continuous functions, $\beta-\gamma$-open, $\beta-\gamma$-closed , $\beta-\gamma$-connected

Mathematics Subject Classification:

54C08

Authors Imprint References Funding Related Articles Downloads

Sanjay Tahiliani N.K. Bagrodia Public School, Sector 9, Rohini, Delhi 110085, India.
Mershia Rabuni The purpose of this work is to present the idea of $\beta$-$\gamma$-separated sets, examine their characteristics in topological spaces and then define the notation for $\beta$-$\gamma$-connected and $\beta$-$\gamma$-disconnectedness. In addition, the study of topological qualities that involves for $\beta$-$\gamma$-connected spaces via $\beta$-$\gamma$-separated sets. An analysis is conducted on the properties of $\beta$-$\gamma$-connected spaces and how they behave under $\beta_{(\gamma,\delta)}$-continuous functions. We also provide the ideas of $\beta$-$\gamma$-components in a space $X$ and $\beta$-$\gamma$-locally linked spaces.

Pages: 262-269
Date Published: 01-07-2024
Vol. 12 No. 03 (2024): Malaya Journal of Matematik (MJM)

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On \(\beta-\gamma\)-connectedness and \( \beta_{(\gamma,\delta)}\)-continuous functions

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