A topological view of ordered groups
classification
🧮 math.GR
math.GT
keywords
boundarygroupstopologicalapplicationauthorbeencalegaricompactness
read the original 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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