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On topological spaces of orders |
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| Authors: | Alexander V. Arhangel'skii |
| Affiliation: | a Department of Mathematics, Ohio University, Athens, OH 45701, USA b Department of Mathematics, UNCG, Greensboro, NC 27402, USA |
| 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. |
| Keywords: | 54H99 54A99 06A99 |
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