Categories of Open Sets in Generalized Primal Topological Spaces

Hanan Al-Saadi () and Huda Al-Malki
Additional contact information
Hanan Al-Saadi: Department of Mathematics, Faculty of Sciences, Umm Al-Qura University, Makkah 21955, Saudi Arabia
Huda Al-Malki: Department of Mathematics, Adham University College, Umm Al-Qura University, Makkah 21955, Saudi Arabia

Mathematics, 2024, vol. 12, issue 2, 1-14

Abstract: In this research article, we define some categories of open sets over a generalized topological space given together with a primal collection. In addition, we clarify some of its characteristics and investigate the relationships between these concepts in the space under consideration. The topic of continuity occupies a large space in topological theory and is one of the most important topics therein. Researchers have examined it in light of many variables. We followed the same approach by studying the concept of continuity between two generalized topological spaces in light of the primal collection under the name ( g , P ) -continuity. We also made a decomposition of this type of function in light of these weak categories of open sets.

Keywords: generalized topological space; primal topology; ( g , P ) -semi-open; ( g , P ) -pre-open; ( g , P ) -?-open; ( g , P ) -?-open; ( g , P ) -dense set (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/2/207/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/2/207/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:2:p:207-:d:1315140

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().