α-ℽ-convergence, α-ℽ- accumulation and α-ℽ- compactness | Zendy

KHALAF Alias B. Z. IBRAHIM | Zendy

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α-ℽ-convergence, α-ℽ- accumulation and α-ℽ- compactness

Author(s) -

KHALAF Alias B. Z. IBRAHIM

Publication year - 2017

Publication title -

communications faculty of science university of ankara series a1mathematics and statistics

Language(s) - English

Resource type - Journals

ISSN - 1303-5991

DOI - 10.1501/commua1_0000000773

Subject(s) - compact space , convergence (economics) , mathematics , topological space , space (punctuation) , topology (electrical circuits) , pure mathematics , computer science , combinatorics , economics , economic growth , operating system

The aim of the present paper is to introduce the concept of α-ℽ compactness by means of -operation defined on the family of α-open sets of a topological space. We define the α-ℽconvergence,α-ℽaccumulation points of a filterbase and give some of their properties. Some characterizations and properties of α-ℽ-compact spaces are obtained.

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