On Metacompactness in Tri-Topological Spaces

Jamal Oudetallah; Rawya Al-deiakeh; Suhaila Saidat; Abdallah Al-Husban; Ahmad Al-Hammouri; Mohammad Almousa; Ghada Banihani; Khaleed Alhazaymeh; Mutaz Shatnawi

doi:10.58915/amci.v15i1.1953

Authors

Jamal Oudetallah Department of Mathematics, University of Petra, Amman, 11196, Jordan.
Rawya Al-deiakeh Department of Mathematics, Irbid National University, Irbid 2600, Jordan.
Suhaila Saidat Assistant Professor, Mathematics Department, Irbid National University, Irbid, Jordan
Abdallah Al-Husban Department of Mathematics, Irbid National University, Irbid 2600, Jordan.
Ahmad Al-Hammouri Department of Mathematics, Irbid National University, Irbid 2600, Jordan.
Mohammad Almousa Department of Mathematics, Irbid National University, Irbid 2600, Jordan
Ghada Banihani Department of Mathematics, Irbid National University, Irbid 2600, Jordan
Khaleed Alhazaymeh Department of Mathematics, Irbid National University, Irbid 2600, Jordan.
Mutaz Shatnawi Department of Mathematics, Irbid National University, Irbid 2600, Jordan.

DOI:

https://doi.org/10.58915/amci.v15i1.1953

Keywords:

Tri-meta-compact space, tri-compact space, Tripartite locally compact, Tripartite paracompact, Tripartite -space.

Abstract

This paper initiates the study of tri-meta-compact spaces. Thus, the notion of a tri-meta-compact space has been defined firstly. Several properties and characterizations related to tri-meta-compact spaces has been managed. For example, we explore their relationship with sequentially meta-compact spaces in terms of their compactifications. Moreover, tri-meta-compact spaces contained in metacompact spaces has been investigated particularly. Therefore, characterization theorems of a tri-meta-compact space has been obtained. Some examples and counterexamples of a tri-meta-compact space has been presented.