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wα-Separation Axioms in Topological Spaces

Yıl 2014, Cilt: 3 Sayı: 5, 96 - 103, 01.05.2014

Öz

The aim of this paper is to introduce and study twonew classes of spaces,namely ωα-normal and ωα-regular spacesand obtained their properties by utilizing ωα -closed sets. Recallthat a subset A of a topological space (X, τ ) is called ωα -closedif αcl(A) ⊆ U whenever A ⊆ U and U is ω - open in (X, τ ). Wewill present some characterizations of ωα-normal and ωα-regularspaces

Kaynakça

  • S.P. Arya and T.M. Nour, Characterization of s- normal spaces, Indian. J. Pure and Appl. Math., 21(8),(1990), 717-719.
  • S.S. Benchalli, P.G. Patil and T.D. Rayanagoudar, ωα - Closed sets in Topological Spaces, The Global J. Appl. Math Sciences 2/1-2 (2009) 53-63.
  • S.S. Benchalli, T.D. Rayanagoudar and P.G. Patil, g∗- Pre Regular and g∗ -Pre Normal Spaces, Int. Math. Forum 4/48(2010) 2399-2408.
  • S.S. Benchalli and P.G. Patil, Some New Continuous Maps in Topological Spaces, Journal of Advanced Studies in Topology 2/1-2 (2009) 53-63.
  • R. Devi, Studies on Generalizations of Closed Maps and Homeomorpisms in Topological Spaces,Ph.D. thesis, Bharatiyar University, Coimbatore (1994).
  • C. Dorsett, Semi normal Spaces, Kyungpook Math. J. 25 (1985) 173-180.
  • N. Levine, Generalized Closed sets in Topology, Rendi. Circ. Math. Palermo 19/2 (1970) 89-96.
  • S.N. Maheshwar and R. Prasad, On s-normal spaces, Bull. Math. Soc. Sci. Math. R.S. Roumanie 22 (1978) 27-28.
  • B.M. Munshi, Separation axioms, Acta Ciencia Indica 12 (1986) 140-146.
  • T. Noiri and V. Popa, On g-regular spaces and some functions, Mem. Fac. Sci. Kochi Univ. Math 20 (1999)67-74.
  • P.G. Patil, S.S. Benchalli and T.D. Rayanagoudar, Generalization of New Continuous Functions in Topological Spaces, CUBO, A Mathematical Journal 5/3 (2013) 51-58.
  • M.S. John, A Study on Generalizations of Closed Sets and Continuous Maps in Topological and Bitopological spaces , Ph.D. Thesis, Bharathiar University, Coim- batore (2002).
Yıl 2014, Cilt: 3 Sayı: 5, 96 - 103, 01.05.2014

Öz

Kaynakça

  • S.P. Arya and T.M. Nour, Characterization of s- normal spaces, Indian. J. Pure and Appl. Math., 21(8),(1990), 717-719.
  • S.S. Benchalli, P.G. Patil and T.D. Rayanagoudar, ωα - Closed sets in Topological Spaces, The Global J. Appl. Math Sciences 2/1-2 (2009) 53-63.
  • S.S. Benchalli, T.D. Rayanagoudar and P.G. Patil, g∗- Pre Regular and g∗ -Pre Normal Spaces, Int. Math. Forum 4/48(2010) 2399-2408.
  • S.S. Benchalli and P.G. Patil, Some New Continuous Maps in Topological Spaces, Journal of Advanced Studies in Topology 2/1-2 (2009) 53-63.
  • R. Devi, Studies on Generalizations of Closed Maps and Homeomorpisms in Topological Spaces,Ph.D. thesis, Bharatiyar University, Coimbatore (1994).
  • C. Dorsett, Semi normal Spaces, Kyungpook Math. J. 25 (1985) 173-180.
  • N. Levine, Generalized Closed sets in Topology, Rendi. Circ. Math. Palermo 19/2 (1970) 89-96.
  • S.N. Maheshwar and R. Prasad, On s-normal spaces, Bull. Math. Soc. Sci. Math. R.S. Roumanie 22 (1978) 27-28.
  • B.M. Munshi, Separation axioms, Acta Ciencia Indica 12 (1986) 140-146.
  • T. Noiri and V. Popa, On g-regular spaces and some functions, Mem. Fac. Sci. Kochi Univ. Math 20 (1999)67-74.
  • P.G. Patil, S.S. Benchalli and T.D. Rayanagoudar, Generalization of New Continuous Functions in Topological Spaces, CUBO, A Mathematical Journal 5/3 (2013) 51-58.
  • M.S. John, A Study on Generalizations of Closed Sets and Continuous Maps in Topological and Bitopological spaces , Ph.D. Thesis, Bharathiar University, Coim- batore (2002).
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

P. G. Patil Bu kişi benim

Yayımlanma Tarihi 1 Mayıs 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 3 Sayı: 5

Kaynak Göster

APA Patil, P. G. (2014). wα-Separation Axioms in Topological Spaces. Journal of New Results in Science, 3(5), 96-103.
AMA Patil PG. wα-Separation Axioms in Topological Spaces. JNRS. Mayıs 2014;3(5):96-103.
Chicago Patil, P. G. “wα-Separation Axioms in Topological Spaces”. Journal of New Results in Science 3, sy. 5 (Mayıs 2014): 96-103.
EndNote Patil PG (01 Mayıs 2014) wα-Separation Axioms in Topological Spaces. Journal of New Results in Science 3 5 96–103.
IEEE P. G. Patil, “wα-Separation Axioms in Topological Spaces”, JNRS, c. 3, sy. 5, ss. 96–103, 2014.
ISNAD Patil, P. G. “wα-Separation Axioms in Topological Spaces”. Journal of New Results in Science 3/5 (Mayıs 2014), 96-103.
JAMA Patil PG. wα-Separation Axioms in Topological Spaces. JNRS. 2014;3:96–103.
MLA Patil, P. G. “wα-Separation Axioms in Topological Spaces”. Journal of New Results in Science, c. 3, sy. 5, 2014, ss. 96-103.
Vancouver Patil PG. wα-Separation Axioms in Topological Spaces. JNRS. 2014;3(5):96-103.


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