Low separation axioms via the diagonal

• Colasante, María Luisa ^[1] ; Uzcátegui, Carlos ^[1] ; Vielma, Jorge ^[1]
  1. [1] Universidad de Los Andes
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 9, Nº. 1, 2008, págs. 39-50
• Idioma: inglés
• DOI: 10.4995/agt.2008.1868
• Enlaces
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• Resumen

  • In the context of a generalized topology g on a set X, we give in this article characterizations of some separation axioms between T0 and T2 in terms of properties of the diagonal in X × X.

• Referencias bibliográficas
  • F. Arenas, J. Dontchev, and M. Ganster, On -sets and the dual of generalized continuity , Questions and Answers in Gen. Top.15, no. 1 (1997),...
  • M. Caldas, D. N. Georgiou, and S. Jafari, Characterizations of low separation axioms via α-open sets and α-closure operator, Bol. Soc. Paran....
  • M. Caldas and S. Jafari, On some low separation axioms via λ-open sets and λ-closure operator, Rend. Circ. Mat. Palermo, Serie II(Tomo LIV)...
  • M. Caldas, S. Jafari and M.M. Kov´ar, Some properties of θ-open sets, Divulgaciones Matemáticas 12, no. 2(2004), 161–169.
  • A. Csaszar, Separation axioms for generalized topologies, Acta Math. Hungar. 104 (2004), 63–69. http://dx.doi.org/10.1023/B:AMHU.0000034362.97008.c6
  • N. Levine, Semi-open sets and semicontinuity in topological spaces, Amer. Math Monthly 70 (1963), 36–4. http://dx.doi.org/10.2307/2312781
  • H. Maki, Generalized λ-sets and the associated closure operator, The Special Issue in Conmmemoration of Proffesor Kazusada IKEDA’s Retirement,...
  • O. Njastad, On some classes of nearly open sets, Pacific. J. Math. 15 (1965), 961–970. http://dx.doi.org/10.2140/pjm.1965.15.961
  • N. V. Velicko, H-closed topological spaces, Mat Sb. 70 (1966), 98–112. English transl., Amer. Math. Soc. Transl., 78 (1968), 102–118.