Publicado

2007-07-01

More on λ-closed sets in topological spaces

Más sobre conjuntos λ-cerrados en espacios topológicos

Palabras clave:

Topological spaces, Λ-sets, λ-open sets, λ-closed sets, λ-Ro spaces, λ-R1 spaces, 2000 Mathematics Subject Classification. 54B05, 54C08, 54D05 (en)
Espacios topológicos, Λ-conjuntos, conjuntos λ-abiertos, conjuntos λ-cerrados, espacios λ-Ro, espacios λ-R1 (es)

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Autores/as

  • Miguel Caldas Universidade Federal Fluminense, Rio de Janeiro, Brasil
  • Saeid Jafari College of Vestsjaelland South, Slagelse, Denmark
  • Govindappa Navalagi KLE Society's G. H. College, Karnataka, India

Abstract. In this paper, we introduce and study topological properties of λ-derived, λ-border, λ-frontier and λ-exterior of a set using the concept of λ-open sets. We also present and study new separation axioms by using the notions of λ-open and λ-closure operator.

En este artículo introducimos y estudiamos propiedades topológicas de λ-derivada, λ-borde, λ-frontera y λ-exterior de un conjunto usando el concepto de λ-conjunto abierto. Presentamos un nuevo estudio de axiomas de separación usando las nociones de operador λ-abierto y λ-clausura.

Referencias

Arenas, F. G., Dontchev, J., and Ganster, M. On λ-sets and dual of generalized continuity. Questions Answers Gen.Topology 15 (1997), 3-13.

Caldas, M., and Jafari, S. On some low separation axioms via λ-open and λ-closure operator. Rend. Circ. Mat. Di Palermo 54, 2 (2005), 195-208.

Davis, A. S. Indexed systems of neighborhoods for general topological spaces. Amer.Math.Monthly 68 (1961), 886-893.

Dixmier, J. Les C* -algébres et leurs représentations. Gauthier-Villars, Paris, 1964.

Dontchev, J. Contra-continuous functions and strongly S-closed spaces. Internat. J. Math. ݝۼ Math. Sci. 19, 2 (1996), 303-310.

Dunham, W. Ͳ 1/2 —spaces. Kyungpook Math.J. 17 (1977), 161-169.

Jafari, S. The set of all primitive ideals of a C* —algebra A is not an Ro space. International Journal of General Topology. To appear.

Khalimsky, E. D., Kopperman, R., and Meyer, P. R. Computer graphies and con¬nected topologies on finite ordered sets. Topology Appl. 36 (1990), 1-17.

Kovalevsky, V., and Kopperman, R. Some topology-based image processing algo¬rithms. Anals of the New York Academy of Sciences 728 (1994), 174-182.

Landi, G. An introduction to noncommutative spaces and their geometry. Springer-Verlag, Berlin, Heidelberg, 2002. Lecture Notes in Physics: Monographs (51).

Levine, N. Generalized closed sets in topology. Rend. Circ. Mat. Palermo 19, 2 (1970), 89-96.

Maki, H. Generalized A-sets and the associated closure operator. The Special Issue in Commemoration of Prof. Kazusada IKEDA's Retirement, 1. Oct. 1986, 139-146.

Cómo citar

APA

Caldas, M., Jafari, S. y Navalagi, G. (2007). More on λ-closed sets in topological spaces. Revista Colombiana de Matemáticas, 41(2), 355–369. https://revistas.unal.edu.co/index.php/recolma/article/view/94742

ACM

[1]
Caldas, M., Jafari, S. y Navalagi, G. 2007. More on λ-closed sets in topological spaces. Revista Colombiana de Matemáticas. 41, 2 (jul. 2007), 355–369.

ACS

(1)
Caldas, M.; Jafari, S.; Navalagi, G. More on λ-closed sets in topological spaces. rev.colomb.mat 2007, 41, 355-369.

ABNT

CALDAS, M.; JAFARI, S.; NAVALAGI, G. More on λ-closed sets in topological spaces. Revista Colombiana de Matemáticas, [S. l.], v. 41, n. 2, p. 355–369, 2007. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/94742. Acesso em: 2 feb. 2025.

Chicago

Caldas, Miguel, Saeid Jafari, y Govindappa Navalagi. 2007. «More on λ-closed sets in topological spaces». Revista Colombiana De Matemáticas 41 (2):355-69. https://revistas.unal.edu.co/index.php/recolma/article/view/94742.

Harvard

Caldas, M., Jafari, S. y Navalagi, G. (2007) «More on λ-closed sets in topological spaces», Revista Colombiana de Matemáticas, 41(2), pp. 355–369. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/94742 (Accedido: 2 febrero 2025).

IEEE

[1]
M. Caldas, S. Jafari, y G. Navalagi, «More on λ-closed sets in topological spaces», rev.colomb.mat, vol. 41, n.º 2, pp. 355–369, jul. 2007.

MLA

Caldas, M., S. Jafari, y G. Navalagi. «More on λ-closed sets in topological spaces». Revista Colombiana de Matemáticas, vol. 41, n.º 2, julio de 2007, pp. 355-69, https://revistas.unal.edu.co/index.php/recolma/article/view/94742.

Turabian

Caldas, Miguel, Saeid Jafari, y Govindappa Navalagi. «More on λ-closed sets in topological spaces». Revista Colombiana de Matemáticas 41, no. 2 (julio 1, 2007): 355–369. Accedido febrero 2, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/94742.

Vancouver

1.
Caldas M, Jafari S, Navalagi G. More on λ-closed sets in topological spaces. rev.colomb.mat [Internet]. 1 de julio de 2007 [citado 2 de febrero de 2025];41(2):355-69. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/94742

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