Some results and examples concerning Whyburn spaces

• Alas, Ofelia T. ^[1] ; Madriz-Mendoza, Maira ^[2] ; Wilson, Richard G. ^[2]
  1. [1] Universidade de São Paulo

     Universidade de São Paulo

     Brasil

     
  2. [2] Universidad Autónoma Metropolitana

     Universidad Autónoma Metropolitana

     México

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 13, Nº. 1, 2012, págs. 11-19
• Idioma: inglés
• DOI: 10.4995/agt.2012.1633
• Enlaces
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• Resumen

  • We prove some cardinal inequalities valid in the classes of Whyburn and hereditarily weakly Whyburn spaces and we construct examples of non-Whyburn and non-weakly Whyburn spaces to illustrate that some previously known results cannot be generalized.

• Referencias bibliográficas
  • A. Bella, C. Costantini and S. Spadaro, The Whyburn property in the class of P-spaces, Quaderni del Dipartimento di Matematica, Universitá...
  • R. Engelking, General Topology, Heldermann Verlag, Berlin, 1989.
  • I. Juhász, Cardinal Functions in Topology - Ten years later, Mathematisch Centrum, Amsterdam, 1980.
  • J. Pelant, M. G. Tkachenko, V. V. Tkachuk and R. G. Wilson, Pseudocompact Whyburn spaces need not be Fréchet, Proc. Amer. Math. Soc. 131,...
  • J. R. Porter and R. G. Woods, Extensions and Absolutes, Springer Verlag, New York, 1987.
  • E. A. Reznichenko, A pseudocompact space in which only sets of complete cardinality are not closed and not discrete, Moscow Univ. Math. Bull....
  • V. V. Tkachuk and I. V. Yashchenko, Almost closed sets and the topologies they determine, Comment. Math. Univ. Carolinae 42, no. 2 (2001),...