Theorems · Definition · category theory
TopModuleCat.coker
{R : Type u} → [inst : Ring R] → [inst_1 : TopologicalSpace R] → {M N : TopModuleCat R} → (M ⟶ N) → TopModuleCat RCokernel in TopModuleCat R is the cokernel of the linear map with the quotient topology.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RingTopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- TopologicalSpacestatement and proof · cited by 24,529
- Ringstatement and proof · cited by 7,463
- HasQuotient.Quotientproof · cited by 2,301
- ModuleCat.carrierproof · cited by 997
- LinearMap.rangeproof · cited by 893
- ContinuousLinearMap.toLinearMapproof · cited by 528
- TopModuleCatstatement and proof · cited by 45
- TopModuleCat.toModuleCatproof · cited by 29
- TopModuleCat.Hom.homproof · cited by 22
- TopModuleCat.ofproof · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- TopModuleCat.cokerπstatement · cited by 3
- TopModuleCat.cokerπ_surjectivestatement · cited by 0
- TopModuleCat.comp_cokerπstatement · cited by 0
- TopModuleCat.hom_cokerπstatement · cited by 0
- TopModuleCat.isColimitCokerstatement · cited by 0