On strongly α-I-Open sets and a new mapping

• R Devi ^[1] ; A Selvakumar ^[1] ; M Parimala ^[1] ; S Jafari ^[2]
  1. [1] Kongunadu Arts and Science College Department of Mathematics
  2. [2] College of Vestsjaelland Syd
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 13, Nº. 1, 2011, págs. 1-10
• Idioma: inglés
• DOI: 10.4067/S0719-06462011000100001
• Enlaces
  • Texto completo
• Resumen
  • español

    En este trabajo, se introduce la noción del gran conjunto α -I-abierto ideal en espacios topológicos y se investigan algunas de sus propiedades. Además se estudian las funciones continuas para el conjunto y parte de sus propiedades.

  • English

    In this paper, we introduce the notion of strongly α -I-open sets in ideal topological spaces and investigate some of their properties. Further we study the continuous functions for the above set and derive the some of their properties.

• Referencias bibliográficas
  • Abd El-Monsef, ME,Lashien, E.F,Nasef, A.A. (1992). On I-open sets and I-continuous mappings. Kyungpook Mathematical Journal. 32. 21-30
  • Andrijevic, D. (1996). On b-open sets. Mathematichki Vesnik. 48. 59-64
  • Caksu Guler, A,Aslim, G. (2005). b-I-open sets and decomposition of continuity via idealization , Proceedings of Institute of Mathematics...
  • Devi, R,Selvakumar, A,Parimala, M. Strongly b-I-open sets in ideal topological spaces, (submitted.
  • Dontchev, J. (1999). Idealization of Ganster-Reilly decomposition theorems.
  • Hatir, E,Noiri, T. (2002). On decomposition of continuity via idealization. Acta Math. Hungar. 96. 341-349
  • Jafari, S,Noiri, T. (1999). Contra-super-continuous mappings. Annales Universitatis Scientiarum Budapestinensis. 22. 27-34
  • Jankovic, D,Hamlett, T.R. (1992). Compatible extensions of ideals. Unione Matematica Italiana Bollettino.. 453-465
  • Jankovic, D,Hamlett, T.R. (1990). New topologies from old via ideals. Amer. Math. Monthly. 97. 295-310
  • Jeyanthi, V,Renuka Devi, V,Sivaraj, D. (2007). Some subsets of ideal topological spaces. Math. Benchink. 59. 75-84
  • Keskin, A,Noiri, T,Yuksel, S. (2004). Idealization of decomposition theorem. cta Math. Hungar. 102. 269-277
  • Levine, N. (1963). Semi-open sets and semi-continuity in topological spaces. Amer. Math. Monthly. 70. 36-41
  • Mashhour, A. S,Abd El-Monsef, M. E,El-Deeb, S. N. (1982). On precontinuous and weak precontinuous mappings. Proc. Math. Phys. Soc. Egypt....
  • Mashhour, A. S,Hasanein, I. N,El-Deeb, S. N. (1983). continuous and -open mappings. Acta Math. Hungar. 41. 213-218
  • Mrsevic, M. (1986). On Pairwise R0 and pairwise R1 bitopological spaces: Bulletin Mathematique de la Societe des Sciences Mathematiques de...
  • Njastad, O. (1965). On some classes of nearly open sets. Pacific J. Math. 15. 961-970
  • Renuka Devi,Sivaraj, D. (2008). A Decomposition of continuity via ideals. Acta. Math. Hungar.,. 118. 53-59
  • Tong, J. (1989). On decomposition of continuity in topological spaces. Acta Math. Hungar. 54. 51-55
  • Vaidyanathaswamy, R. (1945). The localisation theory in set topology. Proc. Indian Acad. Sci. Math. Sci.,. 20. 51-61