Closedness, separation and connectedness in pseudo-quasi-semi metric spaces | Zendy

Tesnim Meryem Baran | Zendy

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Closedness, separation and connectedness in pseudo-quasi-semi metric spaces

Author(s) -

Tesnim Meryem Baran

Publication year - 2020

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil2014757b

Subject(s) - mathematics , metric space , social connectedness , metric (unit) , closure (psychology) , pure mathematics , space (punctuation) , topological space , characterization (materials science) , topology (electrical circuits) , combinatorics , social psychology , market economy , psychology , operations management , materials science , economics , nanotechnology , linguistics , philosophy

In this paper, we give the characterization of closed and strongly closed subsets of an extended pseudo-quasi-semi metric space and show that they induce closure operator. Moreover, we characterize each of Ti, i = 0, 1, 2 and connected extended pseudo-quasi-semi metric spaces and investigate the relationship among them. Finally, we introduce the notion of irreducible objects in a topological category and examine the relationship among each of irreducible, Ti,i = 1,2, and connected extended pseudo-quasi-semi metric spaces.

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