BibTex RIS Cite

wα-Separation Axioms in Topological Spaces

Year 2014, Volume: 3 Issue: 5, 96 - 103, 01.05.2014

Abstract

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

References

  • 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).
Year 2014, Volume: 3 Issue: 5, 96 - 103, 01.05.2014

Abstract

References

  • 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).
There are 12 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

P. G. Patil This is me

Publication Date May 1, 2014
Published in Issue Year 2014 Volume: 3 Issue: 5

Cite

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. May 2014;3(5):96-103.
Chicago Patil, P. G. “wα-Separation Axioms in Topological Spaces”. Journal of New Results in Science 3, no. 5 (May 2014): 96-103.
EndNote Patil PG (May 1, 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, vol. 3, no. 5, pp. 96–103, 2014.
ISNAD Patil, P. G. “wα-Separation Axioms in Topological Spaces”. Journal of New Results in Science 3/5 (May 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, vol. 3, no. 5, 2014, pp. 96-103.
Vancouver Patil PG. wα-Separation Axioms in Topological Spaces. JNRS. 2014;3(5):96-103.


TR Dizin 31688

EBSCO30456


Electronic Journals Library   30356

 DOAJ   30355

                                                        WorldCat  3035730355

Scilit 30360


SOBİAD 30359


29388 JNRS is licensed under a Creative Commons Attribution-NonCommercial 4.0 International Licence (CC BY-NC).