Almost ellipsoidal sections and projections of convex bodies Article Swipe
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D. G. Larman
,
P. Mani
·
YOU?
·
· 1975
· Open Access
·
· DOI: https://doi.org/10.1017/s0305004100051355
· OA: W2140066862
YOU?
·
· 1975
· Open Access
·
· DOI: https://doi.org/10.1017/s0305004100051355
· OA: W2140066862
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.
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