Circular orders admit convex uniform structures that describe their compactifications, yielding new results on G-compactifications and generalizations of Helly's selection theorem.
Calegari,Circular groups, planar groups, and the Euler class, Geometry & Topology Monographs, Volume 7: Proceedings of the Casson Fest, 431–491 (2004)
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Circular orders: topology and continuous actions
Circular orders admit convex uniform structures that describe their compactifications, yielding new results on G-compactifications and generalizations of Helly's selection theorem.