δμ-connectedness in a μ-proximity space

Authors

  • Dipankar Dey Gurudas College
  • Dhananjoy Mandal Department of Pure Mathematics, University of Calcutta
  • Manabendra Nath Mukherjee Department of Pure Mathematics, University of Calcutta

Keywords:

δμ-connectedness, δμ-components, δμ-quasi components, δμ-continuity, μ-proximity

Abstract

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

References

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Mukherjee, Manabendra Nath, Dhananjoy Mandal and Dipankar Dey. Proximity structure on generalized topological spaces. Afr. Mat. 30, no. 1-2 (2019): 91-100.
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Published

2024-07-08

How to Cite

Dey, D., Mandal, D., & Mukherjee, M. N. (2024). δμ-connectedness in a μ-proximity space. Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, 23, 29–38. Retrieved from https://studmath.uken.krakow.pl/article/view/11207

Issue

Vol. 23 (2024)

Section

Published

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