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δµ-connectedness in a µ-proximity space

Dipankar Dey

Dipankar Dey

Gurudas CollegeKolkata, India
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Dey, Dipankar
, 
Dhananjoy Mandal

Dhananjoy Mandal

Department of Pure Mathematics, University of CalcuttaKolkata, India
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Mandal, Dhananjoy
 and 
Manabendra Nath Mukherjee

Manabendra Nath Mukherjee

Department of Pure Mathematics, University of CalcuttaKolkata, India
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Mukherjee, Manabendra Nath
  
Jul 17, 2024
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Published Online: Jul 17, 2024
Page range: 29 - 38
Received: Jan 11, 2024
Accepted: May 17, 2024
DOI: https://doi.org/10.2478/aupcsm-2024-0004
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© 2024 Dipankar Dey et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

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.

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English
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Journal Subjects:
Mathematics, General Mathematics
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