Directed GF-spaces

F.G. Arenas, M.A. Sánchez Granero
DOI: https://doi.org/10.4995/agt.2001.2149

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

Full Text:

PDF

Abstract Views

1167
Metrics Loading ...

Metrics powered by PLOS ALM


Bookmark and Share

 

Cited-By (articles included in Crossref)

This journal is a Crossref Cited-by Linking member. This list shows the references that citing the article automatically, if there are. For more information about the system please visit Crossref site

1. THE BONE DENSITY STUDIED THROUGH THE FRACTAL DIMENSION IN PATIENTS WITH PERIODONTAL DISEASE
FRANCISCO JOSÉ GÓMEZ-GARCÍA, PÍA LÓPEZ-JORNET, M. FERNÁNDEZ-MARTÍNEZ, YOLANDA GUERRERO-SÁNCHEZ
Fractals  vol: 28  issue: 08  first page: 2040031  year: 2020  
doi: 10.1142/S0218348X20400319



Esta revista se publica bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.

Universitat Politècnica de València

e-ISSN: 1989-4147   https://doi.org/10.4995/agt