Mathlib Map

Theorems · Definition · general topology

SetRel.IsCover

{X : Type u_1} → SetRel X X → Set X → Set X → Prop

For an entourage U, a set N is a `U`-cover of a set s if every point of s is U-close to some point of N. This is also called a `U`-net in the literature. [R. Vershynin, High Dimensional Probability][vershynin2018high], 4.2.1.

Defined in
Mathlib.Data.Rel.Cover
Cited by
17 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms

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Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • Setstatement and proof · cited by 53,352
  • SetRelstatement and proof · cited by 581

Cited by19

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