Another low-technology estimate in convex geometry

Details Another low-technology estimate in convex geometry Another low-technology estimate in convex geometry

1998-04-06

arxiv.org/abs/math/9804023v1

Math. Sci. Res. Inst. Publ. 34 (1999), 117-121

Mathematics

Metric Geometry

11 pages

Scientific paper

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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