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arxiv: 1607.07747 · v1 · pith:7NFMD3TKnew · submitted 2016-07-24 · 🧮 math.GN · math.GT

Poc Sets, Median Algebras and Group Actions

Martin Roller This is my paper
classification 🧮 math.GN math.GT
keywords actionsalgebrasconstructiondunwoodyextendedgroupmediansageev
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An extended Study of Dunwoody's Construction and Sageev's Theorem

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Cited by 3 Pith papers

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    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...

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    Involution systems generalize Coxeter systems such that their weak orders are complete meet-semilattices for a broader class including cactus groups, with finite presentations for those with sign characters and new ch...

  3. Tameness of actions on finite rank median algebras

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    Finite-rank median algebras satisfy rank equals independence number of median-preserving maps to [0,1], implying a Helly-type selection principle and tameness of continuous group actions by median automorphisms.