Directed GF-spaces

F.G. Arenas, M.A. Sánchez Granero

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.

Keywords

Directed GF-space; Functors; Pervin quasi-uniformity

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Universitat Politècnica de València

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