Directed GF-spaces | Zendy

F. G. Arenas | Zendy; M.A. Sánchez-Granero | Zendy

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Directed GF-spaces

Author(s) -

F. G. Arenas,

M.A. 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

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