On Helly's theorem in geodesic spaces

2014/01/26 by Sergei Ivanov, Ivanov, Sergei
Mathematics · #52A35 #53C23 #54F45 #FOS: Mathematics #Metric Geometry (math.MG) #math.MG #msc:52A35 #msc:53C23 #msc:54F45

paper · pdf · doi:10.48550/arxiv.1401.6654

3 pages, v3: added more references and details

arxiv created 2014/05/17 · arxiv updated 2014/05/20

Abstract

In this short note we show that Helly's Intersection Theorem holds for convex sets in uniquely geodesic spaces (in particular in CAT(0) spaces) without the assumption that the convex sets are open or closed.

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