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arXiv · 1403.4876

A topological view of ordered groups

Dale Rolfsen
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Abstract

We show how to use topological ideas, such as compactness, to establish orderability properties of infinite groups. A new application is to provide a left-ordering for the group of PL homeomorphisms of a connected surface with boundary which are fixed on at least one boundary component. This has been extended in recent joint work by the author and D. Calegari.

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Dale Rolfsen. 2014-03-19. A topological view of ordered groups. https://arxiv.org/abs/1403.4876

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