Δ*-Lindelof tritopological spaces. Issue 5 (4th July 2022)

• Record Type: Journal Article
• Authors: Mousa, Zainab Imran; Habeeb, Eman Yahea; Hassan, Asmhan Flieh
• Is Part Of: Journal of interdisciplinary mathematics. Volume 25:Issue 5(2022)
• Page Start: 1323
• Page End: 1332
• Publication Date: 2022-07-04
• Subjects: Primary 54E55 -- Secondary 54C10; Tritopological spaces -- δ*-open sets -- δ*-Lindelof spaces -- δ*-continuous -- δ*-compactness; Mathematics -- Periodicals; Mathematics; Periodicals; 510.5
• DOI: 10.1080/09720502.2022.2040850
• Languages: English
• ISSNs: 0972-0502

Abstract

Abstract: In this work, we introduce and study the Lindelof tritopological spaces w.r.t. δ *-open set (which we named δ *-Lindelof tritopological spaces) and investigate some of their characterizations. And we also show the main interrelations between δ *-Lindelofness and various basic notions of tritopological spaces, such as, δ *-compactness, δ *-separability, δ *-second countability, and others. Furthermore, we also show that the property of a δ *-Lindelofness is not a hereditary property, however it is a tritopological property.