Circular orders admit convex uniform structures that describe their compactifications, yielding new results on G-compactifications and generalizations of Helly's selection theorem.
Chistyakov,Selections of bounded variation, Journal of Applied Analysis, 10 (2004), 1–82
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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.