Open AccessOn Maximal and Minimal Sets in Topological Spaces
Author(s) -
Raad Aziz Hussain Al-Abdulla
Publication year - 2019
Publication title -
xi'nan jiaotong daxue xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.308
H-Index - 21
ISSN - 0258-2724
DOI - 10.35741/issn.0258-2724.54.6.39
Subject(s) - mathematics , topological space , class (philosophy) , maximal element , topology (electrical circuits) , topological tensor product , discrete mathematics , separated sets , pure mathematics , set (abstract data type) , topological vector space , combinatorics , isolated point , computer science , functional analysis , artificial intelligence , programming language , biochemistry , chemistry , gene
In this paper, we examine new classes of sets in topological spaces that are called maximal and minimal sets. Their relations are introduced and studied. Also, a recent class of functions has been found in topological spaces which use maximal and minimal sets. In addition, maximal and minimal sets are independent; the maximal and minimal sets cannot be equivalent under any conditions.