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Title: Topologies corresponding to continuous representability of preorders
Authors: Bosi, Gianni
Keywords: Weakly continuous preorder;Weakly continuous representation property;Continuous representation property;Preorden débilmente continuo;Propiedad de representación débilmente continua;Propiedad de representación continua
Issue Date: 2010
Publisher: Universidad de Extremadura, Servicio de Publicaciones
Abstract: A topology τ on a _xed nonempty set X is said to satisfy the weakly continuous representation property if every weakly continuous not necessarily total preorder≾on the topological space (X; τ) admits a continuous order preserving function. Such a property generalizes the well known continuous representation property of a topology τ on a set X (according to which every continuous total preorder ≾ on (X; τ) admits a continuous order preserving function). In this paper I present some results concerning the topologies which satisfy the weakly continuous representation property.
ISSN: 0213-8743
Appears in Collections:Extracta Mathematicae Vol. 25, nº 3 (2010)

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