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MILDLY *-NORMAL SPACES AND SOME FUNCTIONS

Year 2013, Volume: 2 Issue: 2, 92 - 103, 01.02.2013

Abstract

new ideal topological functions are introduced. Characterizationsand properties of such new notions are studied. Some preservationtheorems for mildly -normal spaces are obtained

References

  • J. Antony Rex Rodrigo, O. Ravi and M. Sangeetha, Mildly-I-locally closed sets and decompositions of -continuity, International Journal of Advances In Pure and Applied Mathematics, 1(2)(2011), 67-80.
  • 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.
  • T. R. Hamlett and D. Jankovic, Compactness with respect to an ideal, Boll. U. M. I., (7) 4-B(1990), 849-861.
  • E. Hayashi, Topologies defined by local properties, Math. Ann., 156(1964), 205- 215.
  • V. Inthumathi, S. Krishnaprakash and M. Rajamani, Strongly-I-Locally closed sets and decompositions of -continuity, Acta Math. Hungar., 130(4)(2011), 358- 362.
  • D. Jankovic and T. R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97(4)(1990), 295-310.
  • V. Jeyanthi, V. Renuka Devi and D. Sivaraj, Some more properties of FIand regular I-closed sets in ideal topological spaces, Bull. Malays. Math. Sci. Soc., (2)29(1)(2006), 69-77.
  • A. Keskin, T. Noiri and S. Yuksel, Idealization of decomposition theorem, Acta Math. Hungar., 102(4)(2004), 269-277.
  • 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.
  • 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.
  • M. Navaneethakrishnan and J. Paulraj Joseph, g-closed sets in ideal topological spaces, Acta Math. Hungar., 119(4)(2008), 365-371.
  • M. Navaneethakrishnan and D. Sivaraj, Regular generalized closed sets in ideal topological spaces, Journal of Advanced Research in Pure Mathematics, 2(3)(2010), 24-33.
  • M. Navaneethakrishnan, J. Paulraj and D. Sivaraj, Ig-normal and Ig-regular spaces, Acta Math. Hungar., 125(4)(2009), 327-340.
  • O. Njastad, On some classes of nearly open sets, Pacific J. Math., 15(1965), 961- 970.
  • T. Noiri, Mildly normal spaces and some functions, Kyungpook Math. J., 36(1996), 183-190.
  • N. Palaniappan and K. Chandrasekra Rao, Regular generalized closed sets, Kyung- pook Math. J., 33(2)(1993), 211-219.
  • M. Rajamani, V. Inthumathi and S. Krishnaprakash, Iπg-closed sets and Iπg- continuity, Journal of Advanced Research in Pure Mathematics, 2(4)(2010), 63-72. [21] O. Ravi, J. Antony Rex Rodrigo and A. Naliniramalatha, Iω-normal and Iω- regular spaces, International Journal of Advances in Pure and Applied Mathe- matics, 1(3)(2011), 69-84.
  • 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), 1-13.
  • V. Renuka Devi, D. Sivaraj and T. Tamizh Chelvam, Codense and Completely codense ideals, Acta Math. Hungar., 108(3)(2005), 197-205.
  • R. Vaidyanathaswamy, Set Topology, Chelsea Publishing Company (1946).
Year 2013, Volume: 2 Issue: 2, 92 - 103, 01.02.2013

Abstract

References

  • J. Antony Rex Rodrigo, O. Ravi and M. Sangeetha, Mildly-I-locally closed sets and decompositions of -continuity, International Journal of Advances In Pure and Applied Mathematics, 1(2)(2011), 67-80.
  • 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.
  • T. R. Hamlett and D. Jankovic, Compactness with respect to an ideal, Boll. U. M. I., (7) 4-B(1990), 849-861.
  • E. Hayashi, Topologies defined by local properties, Math. Ann., 156(1964), 205- 215.
  • V. Inthumathi, S. Krishnaprakash and M. Rajamani, Strongly-I-Locally closed sets and decompositions of -continuity, Acta Math. Hungar., 130(4)(2011), 358- 362.
  • D. Jankovic and T. R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97(4)(1990), 295-310.
  • V. Jeyanthi, V. Renuka Devi and D. Sivaraj, Some more properties of FIand regular I-closed sets in ideal topological spaces, Bull. Malays. Math. Sci. Soc., (2)29(1)(2006), 69-77.
  • A. Keskin, T. Noiri and S. Yuksel, Idealization of decomposition theorem, Acta Math. Hungar., 102(4)(2004), 269-277.
  • 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.
  • 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.
  • M. Navaneethakrishnan and J. Paulraj Joseph, g-closed sets in ideal topological spaces, Acta Math. Hungar., 119(4)(2008), 365-371.
  • M. Navaneethakrishnan and D. Sivaraj, Regular generalized closed sets in ideal topological spaces, Journal of Advanced Research in Pure Mathematics, 2(3)(2010), 24-33.
  • M. Navaneethakrishnan, J. Paulraj and D. Sivaraj, Ig-normal and Ig-regular spaces, Acta Math. Hungar., 125(4)(2009), 327-340.
  • O. Njastad, On some classes of nearly open sets, Pacific J. Math., 15(1965), 961- 970.
  • T. Noiri, Mildly normal spaces and some functions, Kyungpook Math. J., 36(1996), 183-190.
  • N. Palaniappan and K. Chandrasekra Rao, Regular generalized closed sets, Kyung- pook Math. J., 33(2)(1993), 211-219.
  • M. Rajamani, V. Inthumathi and S. Krishnaprakash, Iπg-closed sets and Iπg- continuity, Journal of Advanced Research in Pure Mathematics, 2(4)(2010), 63-72. [21] O. Ravi, J. Antony Rex Rodrigo and A. Naliniramalatha, Iω-normal and Iω- regular spaces, International Journal of Advances in Pure and Applied Mathe- matics, 1(3)(2011), 69-84.
  • 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), 1-13.
  • V. Renuka Devi, D. Sivaraj and T. Tamizh Chelvam, Codense and Completely codense ideals, Acta Math. Hungar., 108(3)(2005), 197-205.
  • R. Vaidyanathaswamy, Set Topology, Chelsea Publishing Company (1946).
There are 23 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

O. Ravi This is me

Publication Date February 1, 2013
Published in Issue Year 2013 Volume: 2 Issue: 2

Cite

APA Ravi, O. (2013). MILDLY *-NORMAL SPACES AND SOME FUNCTIONS. Journal of New Results in Science, 2(2), 92-103.
AMA Ravi O. MILDLY *-NORMAL SPACES AND SOME FUNCTIONS. JNRS. February 2013;2(2):92-103.
Chicago Ravi, O. “MILDLY *-NORMAL SPACES AND SOME FUNCTIONS”. Journal of New Results in Science 2, no. 2 (February 2013): 92-103.
EndNote Ravi O (February 1, 2013) MILDLY *-NORMAL SPACES AND SOME FUNCTIONS. Journal of New Results in Science 2 2 92–103.
IEEE O. Ravi, “MILDLY *-NORMAL SPACES AND SOME FUNCTIONS”, JNRS, vol. 2, no. 2, pp. 92–103, 2013.
ISNAD Ravi, O. “MILDLY *-NORMAL SPACES AND SOME FUNCTIONS”. Journal of New Results in Science 2/2 (February 2013), 92-103.
JAMA Ravi O. MILDLY *-NORMAL SPACES AND SOME FUNCTIONS. JNRS. 2013;2:92–103.
MLA Ravi, O. “MILDLY *-NORMAL SPACES AND SOME FUNCTIONS”. Journal of New Results in Science, vol. 2, no. 2, 2013, pp. 92-103.
Vancouver Ravi O. MILDLY *-NORMAL SPACES AND SOME FUNCTIONS. JNRS. 2013;2(2):92-103.


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