Almost ellipsoidal sections and projections of convex bodies
Published online by Cambridge University Press: 24 October 2008
Extract
In (1) Dvoretsky proved, using very ingenious methods, that every centrally symmetric convex body of sufficiently high dimension contains a central k-dimensional section which is almost spherical. Here we shall extend this result (Corollary to Theorem 2) to k-dimensional sections through an arbitrary interior point of any convex body.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 77 , Issue 3 , May 1975 , pp. 529 - 546
- Copyright
- Copyright © Cambridge Philosophical Society 1975
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