ScalingStacks

Definition 7.2 . [01YW]

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Definition 7.2.

For each ϵ,r>0\epsilon,r>0 and k∈ℕk\in\mathds{N}, define the closed quantitative kk-stratum, Sϵ,rk​(X)S^{k}_{\epsilon,r}(X), by

Sϵ,rk​(X)≡{x∈X: for no r≤s≤1 is x a (k,ϵ,r)-symmetric point}.\displaystyle S^{k}_{\epsilon,r}(X)\equiv\{x\in X:\text{ for no $r\leq s\leq 1$ is $x$ a $(k,\epsilon,r)$-symmetric point}\}\,. (7.1)

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