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math.MG2011★ 18 cited
Notes about the Caratheodory number
Imre Barany, Roman Karasev
In this paper we give sufficient conditions for a compactum in to have Carathéodory number less than , generalizing an old result of Fenchel. Then we prove the c…
math.MG2011★ 9 cited
Waist of the sphere for maps to manifolds
R. N. Karasev, A. Yu. Volovikov
We generalize the sphere waist theorem of Gromov and the Borsuk--Ulam type measure partition lemma of Gromov--Memarian for maps to manifolds.