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I*g-normal and I*g-regular spaces

Year 2014, Volume: 3 Issue: 6 , 15 - 26 , 01.06.2014
https://izlik.org/JA38JU27LX

Abstract

I∗g-normal and I∗g-regular spaces are introducedand various characterizations and properties are given. Characterizations of normal, mildly normal, *g-normal and regular spacesare also given

References

  • M. E. Abd EL. Monsef, M. Lellis Thivagar and S. Rosemary, αˆg-closed sets in topological spaces, Assiut Univ. J. of Math and Comp. sci., 36(1)(2007), 43-51.
  • J. Dontchev, M. Ganster and T. Noiri, Unified approach of generalized closed sets via topological ideals, Math. Japonica., 49(1999), 395-401.
  • J. Dontchev, M. Ganster and D. Rose, Ideal resolvability, Topology and its Appli- cations, 93(1999), 1-16.
  • E. Hayashi, Topologies defined by local properties, Math. Ann., 156(1964), 205- 2
  • D. Jankovic and T. R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97(1990), no. 4, 295-310.
  • K. Kuratowski, Topology, Vol. I, Academic Press (New York, 1966).
  • N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70(1963), 36-41.
  • N. Levine, Generalized closed sets in topology, Rend. Circ. Mat. Palermo (2), 19(1970), 89-96.
  • S. N. Maheshwari and R. Prasad, Some new separation axioms, Ann. Soc. Sci. Bruxelles, 89(1975), 395-402.
  • H. Maki, R. Devi and K. Balachandran, Generalized α-closed sets in topology, Bull. Fukuoka Univ. Ed. III, 42(1993), 13-21.
  • H. Maki, R. Devi and K. Balachandran, Associated topologies of generalized α- closed sets and α-generalized closed sets, Mem. Fac. Sci. Kochi Univ. Math., 15(1994), 51-63.
  • A. S. Mashhour, M. E. Abd El-Monsef and S. N. El-Deeb, On precontinuous and weak precontinuous mappings, Proc. Math. Phy. Soc. Egypt, 53(1982), 47-53.
  • B. M. Munshi, Separation Axioms, Acta Ciencia Indica, 12(1986), 140-144.
  • M. Navaneethakrishnan and J. Paulraj Joseph, g-closed sets in ideal topological spaces, Acta Math. Hungar., 119(2008), no. 4, 365-371.
  • O. Njastad, On some classes of nearly open sets, Pacific J. Math., 15(1965), no. 3, 961-9
  • T. Noiri and V. Popa, On g-regular spaces and some functions, Mem. Fac. Sci. Kochi Univ. Math., 20(1999), 67-74.
  • T. Noiri, Almost αg-closed functions and separation axioms, Acta Math. Hungar., 82(1999), no.3, 193-205.
  • N. Palaniappan and K. Chandrasekra Rao, Regular generalized closed sets, Kyung- pook Math. J., 33(1993), no. 2, 211-219.
  • O. Ravi, S. Tharmar, M. Sangeetha and J. Antony Rex Rodrigo, *g-closed sets in ideal topological spaces, Jordan Journal of Mathematics and Statistics, 6(1)(2013), 1
  • V. Renuka Devi, D. Sivaraj and T. Tamizh Chelvam, Codense and completely codense ideals, Acta Math. Hungar., 108(2005), no. 3, 197-205.
  • M. Sheik John, A study on generalizations of closed sets and continuous maps in topological and bitopological spaces, Ph. D, Thesis, Bharathiar University, Coim- batore, (2002).
  • M. K. Singal and A. R. Singal, Mildly normal spaces, Kyungpook Math. J., 13(1973), 27-31.
  • R. Vaidyanathaswamy, Set Topology, Chelsea Publishing Company (1946).

Year 2014, Volume: 3 Issue: 6 , 15 - 26 , 01.06.2014
https://izlik.org/JA38JU27LX

Abstract

References

  • M. E. Abd EL. Monsef, M. Lellis Thivagar and S. Rosemary, αˆg-closed sets in topological spaces, Assiut Univ. J. of Math and Comp. sci., 36(1)(2007), 43-51.
  • J. Dontchev, M. Ganster and T. Noiri, Unified approach of generalized closed sets via topological ideals, Math. Japonica., 49(1999), 395-401.
  • J. Dontchev, M. Ganster and D. Rose, Ideal resolvability, Topology and its Appli- cations, 93(1999), 1-16.
  • E. Hayashi, Topologies defined by local properties, Math. Ann., 156(1964), 205- 2
  • D. Jankovic and T. R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97(1990), no. 4, 295-310.
  • K. Kuratowski, Topology, Vol. I, Academic Press (New York, 1966).
  • N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70(1963), 36-41.
  • N. Levine, Generalized closed sets in topology, Rend. Circ. Mat. Palermo (2), 19(1970), 89-96.
  • S. N. Maheshwari and R. Prasad, Some new separation axioms, Ann. Soc. Sci. Bruxelles, 89(1975), 395-402.
  • H. Maki, R. Devi and K. Balachandran, Generalized α-closed sets in topology, Bull. Fukuoka Univ. Ed. III, 42(1993), 13-21.
  • H. Maki, R. Devi and K. Balachandran, Associated topologies of generalized α- closed sets and α-generalized closed sets, Mem. Fac. Sci. Kochi Univ. Math., 15(1994), 51-63.
  • A. S. Mashhour, M. E. Abd El-Monsef and S. N. El-Deeb, On precontinuous and weak precontinuous mappings, Proc. Math. Phy. Soc. Egypt, 53(1982), 47-53.
  • B. M. Munshi, Separation Axioms, Acta Ciencia Indica, 12(1986), 140-144.
  • M. Navaneethakrishnan and J. Paulraj Joseph, g-closed sets in ideal topological spaces, Acta Math. Hungar., 119(2008), no. 4, 365-371.
  • O. Njastad, On some classes of nearly open sets, Pacific J. Math., 15(1965), no. 3, 961-9
  • T. Noiri and V. Popa, On g-regular spaces and some functions, Mem. Fac. Sci. Kochi Univ. Math., 20(1999), 67-74.
  • T. Noiri, Almost αg-closed functions and separation axioms, Acta Math. Hungar., 82(1999), no.3, 193-205.
  • N. Palaniappan and K. Chandrasekra Rao, Regular generalized closed sets, Kyung- pook Math. J., 33(1993), no. 2, 211-219.
  • O. Ravi, S. Tharmar, M. Sangeetha and J. Antony Rex Rodrigo, *g-closed sets in ideal topological spaces, Jordan Journal of Mathematics and Statistics, 6(1)(2013), 1
  • V. Renuka Devi, D. Sivaraj and T. Tamizh Chelvam, Codense and completely codense ideals, Acta Math. Hungar., 108(2005), no. 3, 197-205.
  • M. Sheik John, A study on generalizations of closed sets and continuous maps in topological and bitopological spaces, Ph. D, Thesis, Bharathiar University, Coim- batore, (2002).
  • M. K. Singal and A. R. Singal, Mildly normal spaces, Kyungpook Math. J., 13(1973), 27-31.
  • R. Vaidyanathaswamy, Set Topology, Chelsea Publishing Company (1946).
There are 23 citations in total.

Details

Primary Language English
Authors

O. Ravi This is me

Publication Date June 1, 2014
IZ https://izlik.org/JA38JU27LX
Published in Issue Year 2014 Volume: 3 Issue: 6

Cite

APA Ravi, O. (2014). I*g-normal and I*g-regular spaces. Journal of New Results in Science, 3(6), 15-26. https://izlik.org/JA38JU27LX
AMA 1.Ravi O. I*g-normal and I*g-regular spaces. JNRS. 2014;3(6):15-26. https://izlik.org/JA38JU27LX
Chicago Ravi, O. 2014. “I*g-Normal and I*g-Regular Spaces”. Journal of New Results in Science 3 (6): 15-26. https://izlik.org/JA38JU27LX.
EndNote Ravi O (June 1, 2014) I*g-normal and I*g-regular spaces. Journal of New Results in Science 3 6 15–26.
IEEE [1]O. Ravi, “I*g-normal and I*g-regular spaces”, JNRS, vol. 3, no. 6, pp. 15–26, June 2014, [Online]. Available: https://izlik.org/JA38JU27LX
ISNAD Ravi, O. “I*g-Normal and I*g-Regular Spaces”. Journal of New Results in Science 3/6 (June 1, 2014): 15-26. https://izlik.org/JA38JU27LX.
JAMA 1.Ravi O. I*g-normal and I*g-regular spaces. JNRS. 2014;3:15–26.
MLA Ravi, O. “I*g-Normal and I*g-Regular Spaces”. Journal of New Results in Science, vol. 3, no. 6, June 2014, pp. 15-26, https://izlik.org/JA38JU27LX.
Vancouver 1.O. Ravi. I*g-normal and I*g-regular spaces. JNRS [Internet]. 2014 Jun. 1;3(6):15-26. Available from: https://izlik.org/JA38JU27LX

 

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