Directed GF-spaces
Submitted: 2014-02-17
|Accepted: 2014-02-17
|Published: 2001-10-01
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Keywords:
Directed GF-space, Functors, Pervin quasi-uniformity
Supporting agencies:
This research was not funded
Abstract:
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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