Directed GF-spaces

[EN] 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...

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Detalhes bibliográficos
Autores: Arenas, F.G., Sánchez Granero, M.A.
Formato: artículo
Fecha de publicación:2001
País:España
Recursos:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/82007
Acesso em linha:https://riunet.upv.es/handle/10251/82007
Access Level:acceso abierto
Palavra-chave:Directed GF-space
Functors
Pervin quasi-uniformity
Descrição
Resumo:[EN] 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.