Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660841 | Topology and its Applications | 2009 | 4 Pages |
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