Directed GF-spaces
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https://riunet.upv.es/handle/10251/82007
Cita bibliográfica
Arenas, F.; Sánchez Granero, M. (2001). Directed GF-spaces. Applied General Topology. 2(2):191-204. https://doi.org/10.4995/agt.2001.2149
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[EN] 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.
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Applied General Topology issn: 1576-9402