Open AccessDirected GF-spaces
Author(s) -
F. G. Arenas,
Miguel Ángel Sánchez Granero
Publication year - 2001
Publication title -
applied general topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.638
H-Index - 13
eISSN - 1989-4147
pISSN - 1576-9402
DOI - 10.4995/agt.2001.2149
Subject(s) - compactification (mathematics) , mathematics , transitive relation , fractal , pure mathematics , generalization , discrete mathematics , inverse , combinatorics , mathematical analysis , geometry
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