Portal de Periódicos da CAPES

Preorderable topologies and order-representability of topological spaces

2009; Elsevier BV; Volume: 156; Issue: 18 Linguagem: Inglês

10.1016/j.topol.2009.01.018

1879-3207

María Jesús Campión, Juan C. Candeal, Esteban Induráin,

Advanced Algebra and Logic

We furnish characterizations of topologies that coincide with the lower topology or with the order topology of some total preorder defined on a set. Leaning on these characterizations we introduce some applications to the study of continuous and semicontinuous order-representability properties of topological spaces.