Directed GF-spaces

• Arenas, F.G. ^[1] ; Sánchez Granero, M. A. ^[1]
  1. [1] Universidad de Almería

     Universidad de Almería

     Almería, España

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 2, Nº. 2, 2001, págs. 191-204
• Idioma: inglés
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• Resumen

  • In this paper we introduce the concept of directed fractal structure, which is a generalization of the concept of fractal structure (introduced by the authors). We study the relation with transitive quasiuniformities and inverse limits of posets. We define the concept of GF-compactification and apply it to prove that the Stone-Cech compactification can be obtained as the GF-compactification of the directed fractal structure associated to the Pervin quasi-uniformity.