Volume 2 • Issue 2 • PP: 43-46 • 2023
On Some Results About P - Lindelöf Spaces
Open Access & Copyright
© 2023 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
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In this work, we study p-Lindelöf spaces, a concept which is "stronger" than Lindelöf spaces. Every p-compact space is proven to be p-Lindelöf space, so the concept of p-Lindelöf is a generalization of the concept of p-compact. Most of the theorems which are valid for p-compact spaces will be also valid for p-Lindelöf spaces, (with a slight modification). We also study local p-Lindelöf spaces with many related theorems and examples.
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References
[1] Ganster M., Pre-open sets and resolvable space, Kyungpook Math J. 27 (2) (1987), 135-145.
[2] Abd Al-Monsef , M.E. and Noiri , T. , Strongly-compact spaces, Delta J. Sci 8 (1) (1984), 30-46.
[3] _____, and El-Deep, S.N., On pre-continuous and weak pre continuous, Proc. Math - Phys. Soc, Egypt 58 (1982) 47-53.
[4] Mustafa, H.J. and Dawood, N.A., C- Lindelöf spaces, to appear.
[5] Taheer, N. and Mustafa, H.J., On p-compact spaces, M.Sc. Thesis, AlMustansiriyah University, Baghdad (2002).
[6] Sharma, J.N., Topology, Meerat (1977).
[7] Dontchev J., Ganster M. and Kanibir A., On some generalization of LC-space, Acta Math Univ. Comenianae Vol LXV III 2 (1999) 345-353.
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