δµ-connectedness in a µ-proximity space

Dey, Dipankar; Mandal, Dhananjoy; Mukherjee, Manabendra Nath

doi:10.2478/aupcsm-2024-0004

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δµ-connectedness in a µ-proximity space

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

Volume 23 (2024): Issue 1 (January 2024)

By: Dipankar Dey, Dhananjoy Mandal and Manabendra Nath Mukherjee

Open Access

|Jul 2024

Abstract

In this paper we introduce the notion of δ_µ-connectedness on a µ-proximity space. It has been proved that δ_µ-connectedness can be characterized by δ_µ-continuous functions. We initiate the idea of δ_µ-chain and establish some results related to this. The concepts of δ_µ-component and δ_µ-quasi component have been introduced and their interrelation has been studied.

References

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DOI: https://doi.org/10.2478/aupcsm-2024-0004 | Journal eISSN: 2300-133X | Journal ISSN: 2081-545X

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Language: English

Page range: 29 - 38

Submitted on: Jan 11, 2024

Accepted on: May 17, 2024

Published on: Jul 17, 2024

Published by: Pedagogical University of Cracow

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

δ_µ-connectedness,

δ_µ-components,

δ_µ-quasi components,

Related subjects:

© 2024 Dipankar Dey, Dhananjoy Mandal, Manabendra Nath Mukherjee, published by Pedagogical University of Cracow
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.

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