On the set of extreme points of a convex body
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- by James B. Collier PDF
- Proc. Amer. Math. Soc. 47 (1975), 184-186 Request permission
Abstract:
We prove the following: Given a subset $X$ of a compact $0$-dimensional metric space $Z$ and an integer $d \geqslant 3$, there is a homeomorphism of $Z$ into the boundary of a convex body $C$ in ${E^d}$ mapping $X$ onto the set of extreme points of $C$ if and only if $X$ is a ${G_\delta }$ set with at least $d + 1$ points.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 47 (1975), 184-186
- DOI: https://doi.org/10.1090/S0002-9939-1975-0350625-2
- MathSciNet review: 0350625