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Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/2264
Title: Sobre estructuras uniformes generalizadas
Authors: Gracia, José M.; Onieva, Víctor M.; Ruiz, Javier
Keywords: Espacio uniforme generalizado
Espacios cuasiuniformes
Axiomas de regularidad
Issue Date: 1983
Publisher: Universidad de Barcelona
Citation: Collectanea Mathematica, 1983, 34 (2): 157-167.
Abstract: D.W. Curtis and J.C. Matthews have introduced some structures which generalize, to the product of two sets, structures of usual uniform types. However, their axiomatic is not very natural and, in general, it makes no reference to filters. J.M. Gracia and V.M. Onieva introduce an axiomatic inspired in Cutis' and Matthews', which reflects the generalization in a natural way, presenting the structures of the first authors within their framework. In this note, we essentially characterize the topologies which are compatible with the structures of [7] and we examine the regularity axioms of A.S. Davis in relation with these structures, refining or completing several results of [2], [8].
Description: El Instituto Jorge Juan del CSIC posteriormente se integraría en el Instituto de Matemáticas y Física Fundamental (IMAFF).
URI: http://hdl.handle.net/10261/2264
ISSN: 0010-0757
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