A Note on connectedness in a bispace
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DOI:
https://doi.org/10.26637/mjm501/009Abstract
Here we have studied the idea of connectedness and totally disconnectedness in a bispace and some of its basic properties. Also it has been investigated how far several results as valid in a bitopological space are affected in a bispace.
Keywords:
bispace, connectedness, total disconnectedness, \(\sigma\) spaceMathematics Subject Classification:
54A05, 54E55, 54E99- Pages: 104-108
- Date Published: 01-01-2017
- Vol. 5 No. 01 (2017): Malaya Journal of Matematik (MJM)
A.D. Alexandroff, Additive set functions in abstract spaces, (a) Mat. Sb. (N.S), 8:50 $1940307-348$ (English, Russian Summary). (b) ibid, 9:51(1941) 563-628, (English,Russian Summary).
A.K. Banerjee and P.K. Saha, Bispace Group, Int.J.of Math. Sci.and Engg. Appl.(IJMESEA) Vol.5 No V(2011) pp. 41-47.
P. Fletcher, H.B. Hoyle, III and C.W. Patty, The comparison of topologies .Duke math.Journal 36,325331(1969). DOI: https://doi.org/10.1215/S0012-7094-69-03641-2
J.C. Kelly, Bitopological spaces , Proc. London Math. Soc. 13 no.3 (1963) pp.71-89. DOI: https://doi.org/10.1112/plms/s3-13.1.71
Yong Woon. Kim, Pairwise compactness, Publications Math. 15 (1968),87 - 90. DOI: https://doi.org/10.5486/PMD.1968.15.1-4.12
B.K. Lahiri and Pratulananda Das, Semi Open set in a space, Sains malaysiana 24(4) 1-11(1995).
B.K. Lahiri and Pratulananda Das, Certain Bitopological concepts in a Space, Soochow journal of mathematics Volume 27,No.2,pp 175-185,April2001.
W.J. Pervin, Connectedness in Bitopological spaces, Proccedings of Royl Nederlands academy of sciences'series A, vol-70(1967),pp.369-372. DOI: https://doi.org/10.1016/S1385-7258(67)50052-5
I. L. Reilly, On bitopological separation properties, Nanta Mathematica, 5(1972), 14-25.
H. Riberiro, Serless spaces a metrique faible, Porugaliae Math 4(1943) 21-40 and 65-08.
J. Swart, Total disconnectedness in bitopological spaces and product bitopological spaces, Nederl.Akad.Wetenseh.Proe.Ser.A74.Indag.Math.33(1971),135-145. DOI: https://doi.org/10.1016/S1385-7258(71)80020-3
W.A. Wilson, On quasi-metric spaces, American J.Math.53(1931) 675-84. DOI: https://doi.org/10.2307/2371174
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