On Helly's theorem in geodesic spaces

Sergei Ivanov

doi:10.3934/era.2014.21.109

Article Contents

2014, Volume 21: 109-112. Doi: 10.3934/era.2014.21.109

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On Helly's theorem in geodesic spaces

Sergei Ivanov^1,

1.
St. Petersburg Department of Steklov Mathematical Institute, Russian Academy of Sciences, Fontanka 27, St. Petersburg 191023

Received: April 2014

Published: January 2014

Abstract / Introduction Related Papers Cited by

Abstract

In this 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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Mathematics Subject Classification: 53C23, 52A35, 54F45.

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References

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