Article ID Journal Published Year Pages File Type
4660841 Topology and its Applications 2009 4 Pages PDF
Abstract

We study the space of linear orders on a given set X, denoted by Op(X), endowed with the topology of pointwise convergence. We show, in particular, that if |X|=ω1 or |X|=ω0 then Op(X) is homeomorphic to ω12 and ω02, respectively.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology