Weakly m-compact via a hereditary class | Zendy

Abdo Qahis | Zendy; Heyam H. Al-jarrah | Zendy; Takashi Noiri | Zendy

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Weakly m-compact via a hereditary class

Author(s) -

Abdo Qahis,

Heyam H. Al-jarrah,

Takashi Noiri

Publication year - 2020

Publication title -

boletim da sociedade paranaense de matemática

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.347

H-Index - 15

eISSN - 2175-1188

pISSN - 0037-8712

DOI - 10.5269/bspm.40594

Subject(s) - compact space , class (philosophy) , pure mathematics , mathematics , locally compact space , topological space , topology (electrical circuits) , computer science , combinatorics , artificial intelligence

The idea of generalized topology and hereditary classes was introduced and studied by Császár in [1] and [3], respectively. The purpose of the present paper is to introduce and investigate the class of a weakly μH-compact space which is a natural generalization of a weakly compact space [10]. And also we define and investigate the notion of weakly μH-compact subsets. The strategy of using generalized topologies and hereditary classes to extend classical topological concepts have been used by many authors such as [3], [5], [7], and [12].

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