Closure operators in convergence approach spaces | Zendy

Muhammad Qasım | Zendy; Mehmet Baran | Zendy; Hassan ABUGHALWA | Zendy

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Closure operators in convergence approach spaces

Author(s) -

Muhammad Qasım,

Mehmet Baran,

Hassan ABUGHALWA

Publication year - 2020

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-2008-65

Subject(s) - mathematics , closure (psychology) , convergence (economics) , modes of convergence (annotated index) , closure operator , idempotence , pure mathematics , compact convergence , convergence tests , weak convergence , normal convergence , unconditional convergence , closed set , topological space , topological vector space , rate of convergence , computer science , computer network , channel (broadcasting) , computer security , isolated point , market economy , asset (computer security) , economics , economic growth

In this paper, we characterize closed and strongly closed subsets of convergence approach spaces and introduce two notions of closure in the category of convergence approach spaces which satisfy idempotent, productive and (weakly) hereditary properties. Furthermore, we explicitly characterize each of Ti convergence approach spaces, i = 0, 1, 2 with respect to these closure operators and show that each of these subcategories of Ti convergence approach spaces, i = 0, 1, 2 are epireflective as well as we investigate the relationship among these subcategories. Finally, we characterize connected convergence approach spaces.

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