O ̃-I-LOCALLY CLOSED SETS WITH RESPECT TO AN IDEAL TOPOLOGICAL SPACES

Main Article Content

Dr. R. Asokan
Deviprabha. P.

Abstract

 In this paper, we introduce three forms of locally closed sets called --locally closed sets, -- sets and -- sets and various properties of --locally closed sets, -- sets and -- sets and relation between the above three set and another sets.


2010 Mathematics Subject Classification: 54A05, 54A10

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

Article Details

How to Cite
Asokan, D. R. ., & P., D. (2022). O ̃-I-LOCALLY CLOSED SETS WITH RESPECT TO AN IDEAL TOPOLOGICAL SPACES . Turkish Journal of Computer and Mathematics Education (TURCOMAT), 13(1), 521–528. https://doi.org/10.61841/turcomat.v13i1.14662
Section
Research Articles

References

. I. Arockiarani, K. Balachandran and M. Ganster, Regular-generalized locally closed sets and RGL-continuous functions, Indian J. Pure. Appl. Math., 28(1997), 661-669.

. P. Battacharya and B.K. Lahiri, Semi-generalized closed sets in topology, Indian J. Math., 29(1987), 375-382.

. R. Devi, K. Balachandran and H. Maki, On generalized α-continuous maps and α-generalized continuous maps, Far East J. Math. Sci., Special Volume, Part I (1997), 1-15.

. Z. Duszynski, M. Jeyaraman,M. Joseph Israel and O. Ravi, A new generalization of closed sets in bitopology, South Asian Journal of Mathematics, 4(5)(2014), 215-224.

. Y. Gnanambal, Studies on generalized pre-regular closed sets and generalization of locally closed sets, Ph.D Thesis, Bharathiar University, Coimbatore1998.

. M. Ganster and I. L. Reilly, Locally closed sets and LC-continuous functions, Internat J. Math. Sci., 12(3)(1989), 417-424.

. D. Jankovic and T. R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly, 97(1990), 295-310.

. N. Levine, Generalized closed sets in topology, Rend. Circ Mat. Palermo,19(1970), 89-96.

. H. Maki, R. Devi and K. Balachandran, Associated topologies of generalized α-closed sets and α-generalized closed sets, Mem. Fac. Sci. Kochi Univ. Ser. A. Math., 15(1994), 51-63.

. N. Palaniappan and K. C. Rao, Regular generalized closed sets, Kyungpook Math. J., 33(1993), 211-219.

. J. H. Park and J. K. Park, On semi-generalized locally closed sets and SGLC-continuous functions, Indian J. Pure. Appl. Math., 31(9) (2000), 1103-1112.

. 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.

. M. Sheik John, A study on generalizations of closed sets and continuous maps in topological and bitopological spaces, Ph.D Thesis, Bharathiar University, Coimbatore, September 2002.

. P. Sundaram and M. Rajamani, Some decompositions of regular generalized continuous maps in topological spaces, Far East J. Math. Sci., special volume, Part II,(2000), 179-188.

. O Ravi, R Senthil Kumar, A Hamari Choudhi, Weakly 그 g-closed sets, Bulletin Of The International Mathematical Virtual Institute, 4, Vol. 4(2014), 1-9

. O Ravi, R Senthil Kumar, Mildly Ig-closed sets, Journal of New Results in Science, Vol3,Issue 5 (2014) page 37-47

. O Ravi, A senthil kumar R & Hamari Choudhi, Decompositions of Ï g-Continuity via Idealization, Journal of New Results in Science, Vol 7, Issue 3 (2014), Page 72-80.

. O Ravi, A Pandi, R Senthil Kumar, A Muthulakshmi, Some decompositions of πg-continuity, International Journal of Mathematics and its Application, Vol 3 Issue 1 (2015) Page 149-154.

. S. Tharmar and R. Senthil Kumar, Soft Locally Closed Sets in Soft Ideal Topological Spaces, Vol 10, issue XXIV(2016) Page No (1593-1600).

. P. Sundaram, H. Maki and K. Balachandran, Semi-generalized continuous maps and semi-T1/2-spaces, Bull. Fukuoka Univ. Ed. III, 40(1991), 33-40.

. P. Sundaram, Study on generalizations of continuous maps in topological spaces, Ph.D Thesis, Bharathiar University, Coimbatore, 1991.

. R. Vaidyanathaswamy, The localization theory in set topology, Proc. Indian Acad. Sci., 20(1945), 51-61.

. M. K. R. S. Veera Kumar, Between semi-closed sets and semi pre-closed sets, Rend Istit Mat. Univ. Trieste, Vol XXXII, (2000), 25-41.

. M. K. R. S. Veera Kumar, g ̂-locally closed sets and G ̂LC-functions, Indian J.Math., 43(2) (2001), 231-247.

. M. K. R. S. Veerakumar, On g ̂-closed sets in topological spaces, Bull. Allah.Math. Soc.,18(2003), 99-112.

. M. K. R. S. Veera Kumar, g*-preclosed sets, Acta Ciencia Indica, Vol. XXVI-IIM, (1) (2002), 51-60.