Directed GF-spaces

Authors

  • F.G. Arenas Universidad de Almería
  • M.A. Sánchez Granero Universidad de Almería

DOI:

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

Keywords:

Directed GF-space, Functors, Pervin quasi-uniformity

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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Author Biographies

F.G. Arenas, Universidad de Almería

Area de Geometría y Topología

Facultad de Ciencias Experimentales

M.A. Sánchez Granero, Universidad de Almería

Area de Geometría y Topología

Facultad de Ciencias Experimentales

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Published

2001-10-01

How to Cite

[1]
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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Articles