Open AccessCharacterizations of sf-simple extension of topologies
Author(s) -
Mohammed Mahdi Yaseen,
Raad Aziz Hussain
Publication year - 2022
Publication title -
iraqi journal for computer science and mathematics
Language(s) - English
Resource type - Journals
eISSN - 2958-0544
pISSN - 2788-7421
DOI - 10.52866/ijcsm.2022.02.01.003
Subject(s) - paracompact space , extension (predicate logic) , simple (philosophy) , mathematics , topological space , topology (electrical circuits) , basis (linear algebra) , type (biology) , computer science , pure mathematics , hausdorff space , combinatorics , ecology , philosophy , geometry , epistemology , biology , programming language
The main aim of this study is to create a new type of topology called “ -simple extension” and investigate its properties. We introduce a new definition for -open sets and consider this aspect as the basis of our main definition. Furthermore, we investigate the properties of the proposed concept to allow us to provide new examples of explicit descriptions of topological spaces and certain types of -covering for topological spaces, such as ( -Lindelof and -paracompact spaces). The use of the tool offers important results for topological spaces. Other findings related to the proposed approach have also been identified.