On Almost Countably Compact of Bitopological Spaces Ali Karim Lelo Alobaidi
Keywords:
compactness, , p- compactness, countably p- compact of bitopological space, almost countably p- compact of bitopological space, p- regular space
Abstract
In this paper we introduce the notion of almost countably compact spaces in bitopological spaces , give new definitions , and study some of the important properties related to this concept , the relationship between almost countably compact spaces and countably compact spaces.Downloads
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References
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[2] - M. Bonanzinga, M.V. Matveev, C.M. Pareek, Some remarks on generalizations of countably compact spaces and Lindelof spaces, Rend. Circ. Mat. Palermo (2) 51 (1) (2002), 163–174.
[3] - Yankui Song and Hongying Zhao, On almost countably compact spaces , Matematiki Vesnik 64, 2 (2012), 159–165 June 2012 Institute of Mathematics, School of Mathematica Sciences, Nanjing Normal University, Nanjing210046, P. R China
[4]- J. C. Kelly, Bitopological spaces, Proc. London Math. Soc. 13 no.3 (1963) pp.71-89
[5]- Elsevier B.V. bitopological spaces: theory, relations with generalized algebraic structures and applications, British library cataloguing in publication data, 2005, ISBN: 0-444-51793-6, ISSN
0304- 0208
[6] - P.Fletcher, H. B. Hoyle and C. W. Patty, The comparison of topologies, Duke Math, j. 36 (1969), 325-331
[7]- K. P. Hart, J. Najata & J. E Vaughan Encyclopedia of general topology, edited by, 2004 Elsevier science, Ltd, All rights reserved23.
[8] - Singal, M. K. and Singal. R, some more separation axioms in bitopological spaces, Ann .Soc. Sci, Bruzelles, 84 (1970) , 207-230 [9]- I. L. Reilly (1973), 'Pairwise Lindelof bitopological spaces', Kyungpook Math. J. 13, 1-4
[10]- A.V. Arhangel ’ski˘i, M.M. Genedi Khamdi, The origin of the theory of relative topological properties, General Topology, Space and Mappings, 3–48 , Moscow Gos. Univ., Moscow 1989.
Published
2018-02-10
How to Cite
Karim Lelo Alobaidi, A. (2018). On Almost Countably Compact of Bitopological Spaces Ali Karim Lelo Alobaidi. Al-Qadisiyah Journal of Pure Science, 22(1), 192 -196. Retrieved from https://journalsc.qu.edu.iq/index.php/JOPS/article/view/623
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