Mathlib Map

Theorems · Definition · general topology

Absorbs

(M : Type u_1) → {α : Type u_2} → [Bornology M] → [SMul M α] → Set α → Set α → Prop

A set s absorbs another set t if t is contained in all scalings of s by all but a bounded set of elements.

Defined in
Mathlib.Topology.Bornology.Absorbs
Cited by
59 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
BornologySMul

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Cites4

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

Cited by62

Results whose statement or proof uses this declaration.