Hamza Qoqazeh, Ali A. Atoom, Ali Jaradat, Eman Almuhur, Nabeela Abu-Alkishik, "A New Study on Tri-Lindelöf Spaces," WSEAS Transactions on Mathematics, vol. 22, pp. 915-924, 2023, DOI:10.37394/23206.2023.22.100
Hamza Qoqazeh, Ali A. Atoom, Ali Jaradat, Eman Almuhur, Nabeela Abu-Alkishik. A New Study on Tri-Lindelöf Spaces.
WSEAS Transactions on Mathematics. 2023;22:915-924. 10.37394/23206.2023.22.100
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 22, 2023
A New Study on Tri-Lindelöf Spaces
Authors: , , , ,
Abstract: This paper defines new covering properties in tri-topological spaces called tri-Lindelöf space and the properties of this topological property and its relationship with some other types of tri-topological spaces will be studied. The effect of some types of functions on tri-Lindelöf spaces will be studied. This paper also investigates the necessary conditions through which the tri-topological space is reduced into a single topological space. Many and varied illustrative examples will be discussed and many well-known facts and theorems are generalized concerning Lindelöf spaces.
Keywords:
Topological space, Tri-topological space, Tri-Lindelöf space, S- compact space, T- compact space, C- compact space, S- Lindelöf space, T- Lindelöf space, C- Lindelöf space
Pages: 915-924 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 22, 2023, Art. #100 DOI: 10.37394/23206.2023.22.100
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