Bδg-Homeomorphisms
Abstract
In this paper we introduce two new classes of mappings called Bδg-homeomorphism and Bδgc-homeomorphism which are defined using Bδg-closed sets and study their basic properties. We also investigate its group structure of their subgroups. We also investigate its relationship with other types of mappings.
Keywords
Semi-generalized set,semi-homeomorphism mapping,Bδg-homeomorphism mapping,Bδg-closed set
References
- [1] Arya S. P. and Nour T., "Characterizations of S-normal spaces", Indian J. Pure. Appl. Math., 21(8)(1990), 717-719.
- [2] Devi R., Balachandran K. and Maki H., "On generalized-continuous and generalized continuous functions", For East J. Math Sci. Special Volume, Part I (1997), 1-15.
- [3] Dontchev J., "Contra-continuous functions and strongly S-closed spaces", International J. Math. Sci. 19 (1996), 303-310.
- [4] Dontchev J. and Ganster M., "On -generalized closed sets and T3=4-spaces", Mem. Fac. Sci. Kochi Univ. Ser. A, Math., 17 (1996), 15-31.
- [5] Dontchev J, Noiri T, "Contra-semi-continuous functions", Math. Pannonica 10 (1999), 159-168.
- [6] Ganster M., Reilly I. L., "Locally closed sets and alc-continuous functions", Internat. J. Math. Sci. 3 (1989), 417-424.
- [7] Lellis T. M., Meera D. B. and Hatir E., bg-closed sets in Topological spaces", Gem. Math. Notes, Vol 1, No.2, (2010), 17-25.
- [8] Lellis T. M., Meera D. B., "Some new class of generalised continuous functions "Proceedings of the ICMCS2011, 431-434.
- [9] Lellis T. M., Meera D. B., "Notes On Homeomorphisms Via bg-Sets." Journal of Advanced Studies in Topology, Vol.2, No.1 (2011), 34-40.
- [10] Lellis T. M., Meera D. B., "Notes on contra via bg-continuous functions", Bol. Soc. Paran. Mat Vol. 30 No.2, (2012), 109-116.