ScalingStacks

Lemma 3.3 . [04U1]

Original official author HTML, exact retained edition. Historical TeX conversion verdicts remain unchanged. Cited-edition alignment and mathematical self-containment are not assessed.

Complete original source context · Original author HTML

Lemma 3.3.

Fix x∈Σvx\in\Sigma_{v}. For any ϵ>0\epsilon>0, there is a sequence rk→0r_{k}\rightarrow 0 such that

M​v​(Brk​(x))>1ϵ​rkn−1.Mv(B_{r_{k}}(x))>\frac{1}{\epsilon}r_{k}^{n-1}.

Original mathematics by the credited authors. Source-backed reader collection; mathematical self-containment is not assessed.