Title of article :
Preorderable topologies and order-representability of topological spaces
Author/Authors :
Campiَn، نويسنده , , Marيa Jesْs and Candeal، نويسنده , , Juan Carlos and Indurلin، نويسنده , , Esteban، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2009
Abstract :
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.
Keywords :
Topologies induced by a total preorder , Order-representability properties on topological spaces , Orderability properties on topological spaces
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications