On the Cech number of C-P(X)

We discuss the tech numbers of the spaces C-p(X) and Cp(X, I) (where the tech number of a space Z is the pseudocharacter of Z in Z). We establish the relation between the tech numbers of C-p(X) and of C-p(X, I), find some upper and lower bounds for the tech number of C-p(X, I) in terms of the cardin...

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Detalles Bibliográficos
Autores: Okunev, O, Tamariz, A
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2004
País:México
Institución:Universidad Nacional Autónoma de México
Repositorio:Sistema de Información de la Facultad de Ciencias, UNAM
OAI Identifier:oai:repositorio.fciencias.unam.mx:11154/1617
Acceso en línea:http://hdl.handle.net/11154/1617
Access Level:acceso abierto
Palabra clave:Mathematics, Applied
Mathematics
topology of pointwise convergence
Cech number
Descripción
Sumario:We discuss the tech numbers of the spaces C-p(X) and Cp(X, I) (where the tech number of a space Z is the pseudocharacter of Z in Z). We establish the relation between the tech numbers of C-p(X) and of C-p(X, I), find some upper and lower bounds for the tech number of C-p(X, I) in terms of the cardinal functions of X, and discuss the minimal possible infinite value that the tech number of C-p f (X, I) can have. (C) 2003 Elsevier B.V. All rights reserved.