Resumen de Topologies corresponding to continuous representability of preorders
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.
