A new decomposition of open and closed sets in topological spaces

• Granados, Carlos ^[1]
  1. [1] Universidad del Atlántico

     Universidad del Atlántico

     México

     
• Localización: Selecciones Matemáticas, ISSN-e 2411-1783, Vol. 8, Nº. 1, 2021 (Ejemplar dedicado a: Enero-Julio), págs. 66-74
• Idioma: inglés
• DOI: 10.17268/sel.mat.2021.01.06
• Títulos paralelos:
  • Una nueva descomposición de conjuntos abiertos y cerrados en espacios topológicos
• Enlaces
  • Texto completo (pdf)
• Resumen
  • español

    En este artículo, mostramos algunas propiedades sobre conjuntos *b-abiertos, además introducimos los conceptos de conjuntos generalizados *b-cerrados, conjuntos localmente *b-cerrados, conjuntos regular generalización *b-cerrados y conjuntos debilmente *b-cerrados. También se muestran algunas de sus propiedades.

  • English

    In this paper, we show some properties on *b-open sets. Besides, we introduce the notions of generalized *b-closed sets, locally *b-closed sets, regular generalized *b-closed sets and weakly *b-closed sets. Moreover, we study some of their properties.

• Referencias bibliográficas
  • Al-Omari A, Salmi M. Decomposition of continuity via b-open set. Bol. Soc. Paran. Mat. 1996; 26(1-2): 53-64.
  • Andrijivic D. On b-open sets. Mat. Vesnik. 1996; 48: 59-64.
  • Gnanambal Y. On generalized pre-regular closed sets in topological spaces. Indian J. Pure Appl. Math. 1997; 28: 351-360.
  • Granados C. A decomposition of continuity and contra continuity in ideal nano topological spaces. Journal of the international
  • Mathematical Virtual Institute. 2020; 10(2): 271-286.
  • Granados C. A decomposition of open sets through operator interior, International Journal of Advances in Applied Mathematics and Mechanics....
  • Granados C. A new notion of convergence on ideal topological spaces, Selecciones Matem´aticas. 2020; 7(2): 250-256.
  • Hariwan Z. Bc-open sets in topological spaces. Advances in pure Mathematics. 2013; 3: 34-40.
  • Hdeib H. w-closed mappings. Revista Colombiana de Mat. 1982; 16: 65-78.
  • Indira T, Rekha K. On locally **b-closed sets. Proceedings of the Heber International Conference on Applications of Mathematics an Statistics....
  • Kuratowski K. Topologie I. Monografie Matematyczne tom 3. PWN-Polish Scientific Publishers. Warszawa. 1933.
  • Levine N. Semi-open sets and semi-continuity in topological spaces. Armer Math. Monthly. 1963; 70: 36-41.
  • Mariappa K, Sekar S. On regular generalized b-closed set. Int. Journal of Math. Analysis. 2013; 3(13): 613-624.
  • Mashhour A, El-monsef M, El-deeb S. On pre-continuous and weak pre-continuous mappings. Proc. Math. Phys. Soc. Egypt. 1982; 53:47-53.
  • Noiri T, Keskin A. On Al -sets and some weak separation axioms. Int. J. Math. Anal. 2011; 5(11): 539-548.
  • Stone M. Applications of the theory of Boolean rings to general topology. Trans. Armer. Math. Soc. 1937; 41:375-381.
  • Usha R, Thangavelu P. On locally numeralb-closed sets and weakly numeralb-closed sets. South Asian Journal Of Multidisciplinary Studies. 2015;...