Theorems · Definition · general topology
Filter.absorbing
(G₀ : Type u_1) → {α : Type u_2} → [inst : GroupWithZero G₀] → [Bornology G₀] → [MulAction G₀ α] → Set α → Filter αThe filter of sets that absorb u.
- Defined in
- Mathlib.Topology.Bornology.Absorbs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Filterstatement · cited by 8,121
- Set.ofPredproof · cited by 6,101
- MulActionstatement and proof · cited by 1,294
- GroupWithZerostatement and proof · cited by 691
- Bornologystatement and proof · cited by 188
- Absorbsproof · cited by 59
- Absorbs.univproof · cited by 1
- Absorbs.interproof · cited by 0
Cited by3
Results whose statement or proof uses this declaration.
- Filter.mem_absorbingstatement · cited by 1
- UniformConvergenceCLM.isVonNBounded_iffproof · cited by 1
- Bornology.isVonNBounded_iff_absorbing_lestatement · cited by 0