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Galoitica: Journal of Mathematical Structures and Applications
Volume 4 , Issue 1, PP: 29-31 , 2023 | Cite this article as | XML | Html |PDF

Title

A Novel Study on Some Pairwise Sub-Lindelöf Topological Spaces

  Djamal Lhiani 1 *

1  Department Of Mathematics, University Of Blida 1, Blida, Algeria
    (lhanibest13@gmail.com)

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Doi   :   https://doi.org/10.54216/GJMSA.040105

Received: November 14, 2022 Accepted: March 09, 2023

Abstract :

This paper is dedicated to introduce some novel topological generalizations of pairwise Lindelöf spaces, which will be called sub-Lindelöf spaces, and to present some results. Also, We suggest two new types of pairwise sublindelöf spaces, as well as types of topological mappings, such as p₁-paralindelöf and p₂-paralindelöf mappings.

Keywords :

sub-Lindelöf spaces; pairwise sublindelöf spaces; bitopological space

References :

[1]  Fletcher, P., Hoyle, H. B. and Patty, C. W., “The comparison of topologies”,  Duke Math. J., 36, (1969), 325 – 331.

[2]  Hdeib, H.Z. and Fora, A. A., “On pairwise paracompact spaces”, Dirasat , IX(2), (1982), 20 – 29.

[3]  Hdeib, H.Z. and Fora, A. A., “On pairwise Lindelöf spaces”, Rev. Colombiana Mat., 17, (1983), 37-57.

[4]  Hdeib, H.Z., “On sublidelöf spaces” , Dirasat , 10(2), (1983), 65 – 71.

[5]  Kelly,  J.C.,  “Bitopological  spaces”  ,  Proc.  London  Math.  Soc.  ,  13,(1963), 71 – 89.

[6]  Saegrove,  M.J.,  “Pairwise  complete  regularity  and  compactificationin bitopological spaces”, J. London Math. Soc. , 7, (1973), 286-290.

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MLA Djamal Lhiani. "A Novel Study on Some Pairwise Sub-Lindelöf Topological Spaces." Galoitica: Journal of Mathematical Structures and Applications, Vol. 4, No. 1, 2023 ,PP. 29-31 (Doi   :  https://doi.org/10.54216/GJMSA.040105)
APA Djamal Lhiani. (2023). A Novel Study on Some Pairwise Sub-Lindelöf Topological Spaces. Journal of Galoitica: Journal of Mathematical Structures and Applications, 4 ( 1 ), 29-31 (Doi   :  https://doi.org/10.54216/GJMSA.040105)
Chicago Djamal Lhiani. "A Novel Study on Some Pairwise Sub-Lindelöf Topological Spaces." Journal of Galoitica: Journal of Mathematical Structures and Applications, 4 no. 1 (2023): 29-31 (Doi   :  https://doi.org/10.54216/GJMSA.040105)
Harvard Djamal Lhiani. (2023). A Novel Study on Some Pairwise Sub-Lindelöf Topological Spaces. Journal of Galoitica: Journal of Mathematical Structures and Applications, 4 ( 1 ), 29-31 (Doi   :  https://doi.org/10.54216/GJMSA.040105)
Vancouver Djamal Lhiani. A Novel Study on Some Pairwise Sub-Lindelöf Topological Spaces. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2023); 4 ( 1 ): 29-31 (Doi   :  https://doi.org/10.54216/GJMSA.040105)
IEEE Djamal Lhiani, A Novel Study on Some Pairwise Sub-Lindelöf Topological Spaces, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 4 , No. 1 , (2023) : 29-31 (Doi   :  https://doi.org/10.54216/GJMSA.040105)
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