Open AccessInfra -α- Compact and Infra -α- Connected Spaces
Author(s) -
Raja Mohammad Latif
Publication year - 2021
Publication title -
international journal of pure mathematics
Language(s) - English
Resource type - Journals
ISSN - 2313-0571
DOI - 10.46300/91019.2021.8.6
Subject(s) - space (punctuation) , topology (electrical circuits) , locally compact space , connected space , topological space , set (abstract data type) , mathematics , compact space , open set , pure mathematics , computer science , combinatorics , programming language , operating system
In 2016 Hakeem A. Othman and Md. Hanif Page introduced a new notion of set in general topology called an infra -α- open set and investigated its fundamental properties and studied the relationship between infra -α- open set and other topological sets. The objective of this paper is to introduce the new concepts called infra -α- compact space, countably infra -α- compact space, infra -α- Lindelof space, almost infra -α- compact space, mildly infra -α- compact space and infra -α- connected space in general topology and investigate several properties and characterizations of these new concepts in topological spaces.