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Regularity and Normality in Bitopological Spaces

R. Roshmi1 , M.S. Hossain2

Section:Research Paper, Product Type: Journal-Paper
Vol.7 , Issue.1 , pp.21-25, Feb-2020


Online published on Feb 28, 2020


Copyright © R. Roshmi, M.S. Hossain . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: R. Roshmi, M.S. Hossain, “Regularity and Normality in Bitopological Spaces,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.7, Issue.1, pp.21-25, 2020.

MLA Style Citation: R. Roshmi, M.S. Hossain "Regularity and Normality in Bitopological Spaces." International Journal of Scientific Research in Mathematical and Statistical Sciences 7.1 (2020): 21-25.

APA Style Citation: R. Roshmi, M.S. Hossain, (2020). Regularity and Normality in Bitopological Spaces. International Journal of Scientific Research in Mathematical and Statistical Sciences, 7(1), 21-25.

BibTex Style Citation:
@article{Roshmi_2020,
author = {R. Roshmi, M.S. Hossain},
title = {Regularity and Normality in Bitopological Spaces},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {2 2020},
volume = {7},
Issue = {1},
month = {2},
year = {2020},
issn = {2347-2693},
pages = {21-25},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1737},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1737
TI - Regularity and Normality in Bitopological Spaces
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - R. Roshmi, M.S. Hossain
PY - 2020
DA - 2020/02/28
PB - IJCSE, Indore, INDIA
SP - 21-25
IS - 1
VL - 7
SN - 2347-2693
ER -

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Abstract :
In this paper, we define one notion of regular and two notions of normal space in bitopological spaces. We find some relationship from topological spaces and bitopological spaces of such notions. Then, we have shown that such notions given satisfy hereditary, projective and productive properties. Furthermore, we have shown some of their features.

Key-Words / Index Term :
Topology, Bitopology, Regular property, Normal property, Hereditary property

References :
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[10] T.H. Jasiml and L.H.Othman;“ On completely normal spaces”,Tikrit J. Pure. Sci, Vol 24, No 5, pp 111-114, 2018.
[11] J. M. H and L. C. A;“Onbicontinuous functions in strongly pairwise normal spaces”, Global J. Pure and Appl.
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[12] A. Mukharjee; “Some new bitopologicalnotions”,Publications De L’InstitutMathematique, Vol 93, No 107, pp 165-172, 2012.
[13] M.G.Murdeshwar and mS.A.Naimpally;“Quasi-uniform Topologicalspaces”, MonographNoordhoof Ltd, 1966.
[14] I.L. Reilly;“Onbitopological separation properties”,Nanta Math, Vol 5, pp 14-25, 1972.
[15] S. Lipschutz;“General topology. Schaum’s outline series”, McGRAW-HILL Book Company, Newyork, 1965.

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