Defines the median uniformity U_m on median algebras to construct the Minimal Median Compactification (MMC) as a natural compactification for group actions by median automorphisms, with uniqueness and tameness results under finite intervals or finite rank.
Megrelishvili,Topological Group Actions and Banach Representations, unpublished book, Available on au- thor’s homepage
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Circular orders admit convex uniform structures that describe their compactifications, yielding new results on G-compactifications and generalizations of Helly's selection theorem.
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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.