Topologies corresponding to continuous representability of preorders

Autores: Gianni Bosi
Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 25, Nº 3, 2010 (Ejemplar dedicado a: Proceedings of the Seventh Italian-Spanish Conference of General Topology and its Applications, Badajoz (Spain), September 7-10, 2010), págs. 227-237
Idioma: inglés
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Resumen
- A topology 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; ) admits a continuous order preserving function. Such a property generalizes the well known continuous representation property of a topology on a set X (according to which every continuous total preorder - on (X; ) admits a continuous order preserving function). In this paper I present some results concerning the topologies which satisfy the weakly continuous representation property.