Keywords:Directed GF-space, Functors, Pervin quasi-uniformity
AbstractIn 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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How to Cite
F. Arenas and M. Sánchez Granero, “Directed GF-spaces”, Appl. Gen. Topol., vol. 2, no. 2, pp. 191–204, Oct. 2001.
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