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: March 31, 2014

Published: December 2013

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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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