Abstract

This paper introduces the concepts of (1,2)*- ?wg-closed maps and study some of their properties. Further, we introduce (1,2)*- ?wg-homeomorphisms ,(1,2)*- ?wgC-homeomorphism and designs to study their properties . Also,we discuss its relationship with other weaker and stronger forms of (1,2)*- ?wg-homeomorphism.

References

• Antony Rex Rodrigo. J,Ravi. O, Pandi. A, Santhana. C. M, On (1,2)*-s-Normal spaces and Pre -(1,2)*- gs-closed functions,Int. J. of Algorithms, Computing and M Mathematics, Vol. 4, No1, Feb - 2011, 29-42.
• Arokiarani. I, Mohana. K, (1,2)*- ?g?- Closed Maps in Bitopological spaces, Int. Journal of Math. Analysis, Vol. 5, 2011, no. 29,1419 -1428.
• Jafari. S, M. Lellis Thivagar ans Nirmala Mariappan, On (1,2)*-? -closed sets, J. Adv. Math. studies (2)(2009),25-34.
• Jeyanthi. V and Janaki. C. "On (1,2)*- ?wg-closed sets in bitopological spaces, IJMA-3(5),2012,2047-2057.
• M. Lellis Thivagar and O. Ravi, A bitopologcal (1,2)*- semi generalized continuous maps, Bulletin malays Sci. Soc. ,2(29)(2006),79-88.
• Maki. H,Sundaram. P, Balachandran. K, On Generalizated homeomorphisms in topological spaces, Bull. Fukuoka Univ. Ed. Part- III,40(1991),13-21.
• Malghan. S. R,Generalized closed maps, J. Karnatk Univ. Sci. ,27,(1982),82-88
• Nagaveni. N, Studies on Generalizations of Homeomorphisms in Topological spaces, Ph. D,Thesis, Bharathiar University,Coimbatore(1999).
• Ravi. O,Pious Missier, Salai Parkunan . T and Pandi. A, Remarks on Bitopological (1,2)*-rw- homeomorphisms , IJMA-2(4), Apr- 2011, 465-475.
• Ravi. O and Lellis Thivagar . M, Ekici. E, On (1,2)*-sets and decomposition of bitopological (1,2)*- continuous mappings,Kochi J. Math ,3(2008), 181-189.
• Ravi. O,Pious Missier, Salai Parkunan . T and Mahaboob Hassain Sherief, On (1,2)*- semi generalized star homeomorphisms, Int, J. of Computer Sci. &Engg. Tech. , Vol 2, april- 2011, 312-318.
• Ravi. O,Pious Missier and Mahaboob Hassain Sherief, A note on (1,2)*- gpr-closed sets,archimedes J. Math. (To appear)
• Ravi. O and Lellis Thivagar,"On Stronger forms of (1,2)*- quotient mappings in bitopoloical spaces, Internat. J. Math. Game Theory and Algebra,Vol. 14, No. 6,pp. 481-492, 2004.
• Ravi. O and Lellis Thivagar , K. Kayathiri and M. Jopseph Isreal , Decompositions of (1,2)*- rg- continuous maps in bitopological spaces. Antarctica Journal Math. 6(1)(2009),13-23.
• Ravi. O and Lellis Thivagar , M. E. Abd El-Monsef, "Remarks on bitopological (1,2)*-quotient mappings", J. Egypt Math. Soc. Vol. 16, No. 1, pp. 17-25, 2008.
• Ravi. O , Lellis Thivagar and M. Joseph Isreal . "A Bitopological approach on ?g-closed sets and continuity, International Mathematical Forum. (To appear).
• Ravi. O,Pious Missier and Mahaboob Hassain Sherief, On (1,2)*- sets and weakly generalized (1,2)*- Continuous maps in bitopological spaces(submitted)
• Ravi. O,Pious Missier, Salai Parkunan . T , On Bitopological (1,2)*-generalized homeomorphisms, Int, J. of Contemp. Math. Sci. ,5(11)(2101),543-557.
• Ravi. O,Jeyashri. S,Pious Missier. S and Nagendran. R , (1,2)*-semi-normal spaces and some bitopological functions. (submitted)
• Stone. M,Application of the theory of Boolean rings to general topology,Trans mer. Math. Soc. ,41(1937),374- 381.
• Sundaram. P and Sheik John. M, Weakly Closed sets and Weakly Continuous maps in topological spaces, Proc. 82nd Indian Sci. Cong. ,Calcutta 49(1995).