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arxiv: math/9804023 · v1 · submitted 1998-04-06 · 🧮 math.MG

Another low-technology estimate in convex geometry

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keywords admitsanotherargumentballbanachconvexdimensionestimate
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We give a short argument that for some C > 0, every n-dimensional Banach ball K admits a 256-round subquotient of dimension at least C n/(log n). This is a weak version of Milman's quotient of subspace theorem, which lacks the logarithmic factor.

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