Circular orders admit convex uniform structures that describe their compactifications, yielding new results on G-compactifications and generalizations of Helly's selection theorem.
Sorin,Lattices of Extensions of Cyclically Ordered Sets and Compactifications of Generalized Cyclically Ordered Spaces, Mathematical Notes, 116 (2024), 763–776
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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.