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SUMMARY:Topological median structures on R^n - Mladen Bestvina (University
  of Utah)
DTSTART:20250905T130000Z
DTEND:20250905T140000Z
UID:TALK233677@talks.cam.ac.uk
DESCRIPTION:A topological median structure on a topological space X is aco
 ntinuous map m:X^3->X satisfying certain axioms. A CAT(0)cube complex X ha
 s a natural median structure\, where m(a\,b\,c) is theunique point that be
 longs 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 medi
 an structures on R^n are locally induced bycubulations of neighborhoods. T
 he proof is by induction on n\, andrequires us to prove the same theorem f
 or ER homology manifolds.
LOCATION:Seminar Room 1\, Newton Institute
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