Abstract
There is a constant c such that for every n ∈ ℕ, there is an N n so that for every N ≥ N n there is a polytope P in ℝ n with N vertices and vol n(B 2 n Δ P) ≤ c vol n(B 2 n) N -2/n-1 where B 2 n denotes the Euclidean unit ball of dimension n.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1-18 |
| Number of pages | 18 |
| Journal | Studia Mathematica |
| Volume | 173 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2006 |
| Externally published | Yes |
Keywords
- Approximation by polytopes
- Convex body