Topological median structures on R^n

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• Mladen Bestvina (University of Utah)
• Friday 05 September 2025, 14:00-15:00
• Seminar Room 1, Newton Institute.

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OGGW02 - Actions on graphs and metric spaces

A topological median structure on a topological space X is acontinuous map m:X^{3->X satisfying certain axioms. A CAT cube complex X has a natural median structure, where m(a,b,c) is theunique point that belongs to three l}1-gedesics that connect each pairab, ac, bc. In a work in progress, joint with Ken Bromberg and MichahSageev, we show that median structures on R^n are locally induced bycubulations of neighborhoods. The proof is by induction on n, andrequires us to prove the same theorem for ER homology manifolds.

This talk is part of the Isaac Newton Institute Seminar Series series.

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