T_0*-compactification in the hyperspace

A *-compactification of a T0 quasi-uniform space (X,U) is a compact T0 quasi-uniform space (Y,V) that has a T(V∨V−1)-dense subspace quasi-isomorphic to (X,U). In this paper we study when the hyperspace with the Hausdorff–Bourbaki quasi-uniformity is *-compactifiable and describe some of its *-compac...

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Detalles Bibliográficos
Autores: Kunzi, Hans-Peter Albert, Sanchez Granero, Miguel Angel, Romaguera Bonilla, Salvador|||0000-0001-7857-6139
Tipo de recurso: artículo
Fecha de publicación:2012
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/48243
Acceso en línea:https://riunet.upv.es/handle/10251/48243
Access Level:acceso abierto
Palabra clave:Hyperspace
star compactification
Bicompletion
Stability space
Hausdorff–Bourbaki quasi-uniformity
MATEMATICA APLICADA
Descripción
Sumario:A *-compactification of a T0 quasi-uniform space (X,U) is a compact T0 quasi-uniform space (Y,V) that has a T(V∨V−1)-dense subspace quasi-isomorphic to (X,U). In this paper we study when the hyperspace with the Hausdorff–Bourbaki quasi-uniformity is *-compactifiable and describe some of its *-compactifications.