Directed GF-spaces

F.G. Arenas

Spain

Universidad de Almería

Area de Geometría y Topología

Facultad de Ciencias Experimentales

M.A. Sánchez Granero

Spain

Universidad de Almería

Area de Geometría y Topología

Facultad de Ciencias Experimentales

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Accepted: 2014-02-17

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Published: 2001-10-01

DOI: https://doi.org/10.4995/agt.2001.2149
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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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