An example of a convex body without symmetric projections
نویسندگان
چکیده
منابع مشابه
An example of a convex body without symmetric projections
Many crucial results of the asymptotic theory of symmetric convex bodies were extended to the non-symmetric case in recent years. That led to the conjecture that for every n-dimensional convex body K there exists a projection P of rank k, proportional to n, such that PK is almost symmetric. We prove that the conjecture does not hold. More precisely, we construct an n-dimensional convex body K s...
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2001
ISSN: 0021-2172,1565-8511
DOI: 10.1007/bf02772622