Directed GF-spaces
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URI: http://hdl.handle.net/10835/4863
DOI: https://doi.org/10.4995/agt.2001.2149
DOI: https://doi.org/10.4995/agt.2001.2149
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2001Resumen
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.