Open AccessThe kernel in fixed topological spaces
Author(s) -
Raad Aziz Hussain Al-Abdulla
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1897/1/012042
Subject(s) - topological space , mathematics , kernel (algebra) , mathematical proof , topology (electrical circuits) , space (punctuation) , fixed point , topological vector space , relation (database) , set (abstract data type) , discrete mathematics , pure mathematics , computer science , combinatorics , mathematical analysis , data mining , geometry , programming language , operating system
The goal of the article is to extend and study the proper fixed spaces. The sets called D-, and Kernel sets in this space have been studied and introduced. In this paper we include theorems and examples related to these concepts in fixed topological space. This research finds the characteristics and properties of such notions. Also the relation between them are studied and investigated in fixed topological spaces. Since the definition of the mathematics usual topology differs from the definition of fixed topology, we have noticed that some of the concepts that have been studied in both are different in terms of their verification in the proofs and examples and evidence for that the of definitions D-sets. α, R 0 , D 0 , D 1 - spaces and the kernel set. Also we were obtained that the relationships between these concepts are different from those in previous studies.