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- W2952480616 abstract "We provide an affirmative answer to a problem posed by Barvinok and Veomett, showing that in general an n-dimensional convex body cannot be approximated by a projection of a section of a simplex of a sub-exponential dimension. Moreover, we establish a lower bound of the Banach-Mazur distance between n-dimensional projections of sections of an N-dimensional simplex and a certain convex symmetric body, which is sharp up to a logarithmic factor for all N>n." @default.
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- W2952480616 date "2012-09-27" @default.
- W2952480616 modified "2023-09-27" @default.
- W2952480616 title "On approximations by projections of polytopes with few facets" @default.
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