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Pure Mathematics for Theoretical Computer Science

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Online: 2995-3162
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Pure Mathematics for Theoretical Computer Science
Full Length Article

Volume 2Issue 2PP: 43-46 • 2023

On Some Results About P - Lindelöf Spaces

Murhaf Obaidi 1*
1Mustansiriah University, Department of Mathematics, Iraq
* Corresponding Author.
Received: January 22, 2023 Revised: April 11, 2023 Accepted: September 26, 2023

Abstract

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.

Keywords

Topology topological space Lindelof space countable set

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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Obaidi, Murhaf. "On Some Results About P - Lindelöf Spaces." Pure Mathematics for Theoretical Computer Science, vol. Volume 2, no. Issue 2, 2023, pp. 43-46. DOI: https://doi.org/10.54216/PMTCS.020205
Obaidi, M. (2023). On Some Results About P - Lindelöf Spaces. Pure Mathematics for Theoretical Computer Science, Volume 2(Issue 2), 43-46. DOI: https://doi.org/10.54216/PMTCS.020205
Obaidi, Murhaf. "On Some Results About P - Lindelöf Spaces." Pure Mathematics for Theoretical Computer Science Volume 2, no. Issue 2 (2023): 43-46. DOI: https://doi.org/10.54216/PMTCS.020205
Obaidi, M. (2023) 'On Some Results About P - Lindelöf Spaces', Pure Mathematics for Theoretical Computer Science, Volume 2(Issue 2), pp. 43-46. DOI: https://doi.org/10.54216/PMTCS.020205
Obaidi M. On Some Results About P - Lindelöf Spaces. Pure Mathematics for Theoretical Computer Science. 2023;Volume 2(Issue 2):43-46. DOI: https://doi.org/10.54216/PMTCS.020205
M. Obaidi, "On Some Results About P - Lindelöf Spaces," Pure Mathematics for Theoretical Computer Science, vol. Volume 2, no. Issue 2, pp. 43-46, 2023. DOI: https://doi.org/10.54216/PMTCS.020205
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