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math.MG2026
Dimension-free estimates for covering functionals of simplices and balls
Feifei Chen, Chan He, Senlin Wu
We study \(Γ_{2^n}(K)\), the least positive number \(γ>0\) such that an \(n\)-dimensional convex body \(K\) can be covered by \(2^n\) translates of \(γK\). For \(n\)-simplices \(Δ_…
math.MG2021
Homothetic covering of convex hulls of compact convex sets
Senlin Wu, Keke Zhang, Chan He
Let be a compact convex set and be a positive integer. The covering functional of with respect to is the smallest such that can be covered by tr…