On \(\widetilde{g}_\alpha\)-sets in bitopological spaces
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DOI:
https://doi.org/10.26637/mjm104/010Abstract
The paper introduces \(\widetilde{g}_\alpha\)-closed sets in bitopological spaces and establishes the relationship between other existing sets. As an application \((i, j) \widetilde{g}_\alpha\)-closure is introduced to define a new topology. We also derive a new decomposition of continuity.
Keywords:
\(\tau_j\)-open set , \(\widetilde{g}_\alpha\)-closed setMathematics Subject Classification:
57E05- Pages: 89-96
- Date Published: 01-10-2013
- Vol. 1 No. 04 (2013): Malaya Journal of Matematik (MJM)
O.A. El-Tantawy, and H.M. Abu-Donia, Generalised Separation Axioms in Bitopological spaces, The Arabian J. for Science and Engg., 30(1A)(2005), 117-129.
T. Fukutake, On generalised closed sets in bitopological spaces, Bull. Fukuoka Univ. Ed. Par III, 35(1986), 19-28.
T. Fukutake, P. Sundaram and M. Sheik John, ω-closed sets,ω-open sets and ω-coninuity in bitopological spaces, Bull. Fukuoka Univ. Ed. Part III, 51(2002), 1-9.
S. Jafari, M.L. Thivagar and Nirmala Rebecca Paul, Remarks on e g α -closed sets, International Mathematical Forum, 5(2010), 1167-1178.
J.C. Kelly Bitopological spaces, Proc.London Math. Soc., 13(1963), 71-89. DOI: https://doi.org/10.1112/plms/s3-13.1.71
M. Lellis Thivagar and Nirmala Rebecca Paul, Remarks on e g α -irresolute maps, Bull. Soc. Paran. Mat., 29(2011), 49-60. DOI: https://doi.org/10.5269/bspm.v29i1.11471
N. Levine, Generalized closed sets in topology, Rend.Circlo. Mat. Palermo, 19(2)(1970), 89-96. DOI: https://doi.org/10.1007/BF02843888
H. Maki, P. Sundaram and K. Balachandran, On generalised continuous maps and pasting lemma in bitopological spaces, Bull. Fukuoka Univ. Ed. Part III, 40(1991), 23-31.
M. Sheik John and P. Sundaram, g*-closed sets in bitopological spaces, Indian J.Pure Appl. Math., 35(1)(2004), 71-80.
P. Sundram, On ω-closed sets in topology, Acta Ciencia Indica, 4(2000), 389-392.
M.K.R.S. Veera Kumar, Between g ∗ -closed and g-closed sets, Mem. Fac. Sci. Kochi Univ. Ser. Appl. Math., 21(2000), 1-19.
M.K.R.S. Veera Kumar, # g-semi-closed sets in topological spaces, Antarctica J. Math., 2(2005), 201-222.
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