KnowraCokernelLinked fromLinked fromThe 10 pages that link to Cokernel, each with the reason it gives.All 10Broader topic 1Related 8Compared with 1Quotient spaceBroader topic: It measures which codomain directions a linear map fails to reach.Kernel (linear algebra)Compared with: The kernel measures lost domain directions; the cokernel measures unattained codomain directions.Fredholm operatorRelated: Its finite dimension measures how many independent output directions are missing.Abelian categoryRelated: Cokernels pair with kernels to define images and exactness categorically.Atiyah–Singer index theoremRelated: Its dimension is subtracted from the kernel dimension in the index.Snake lemmaRelated: Cokernels of the vertical maps appear at the end of the resulting exact sequence.Nine lemmaRelated: Cokernels help turn the diagram's exact rows into a proof of the missing column's surjectivity.Structure theorem for finitely generated modules over a principal ideal domainRelated: Presented modules arise as cokernels, linking matrix calculations to the theorem.Fredholm theoryRelated: Its finite dimension supplies the other part of the index.Fredholm's theoremRelated: Its dimension measures how many independent obstructions prevent surjectivity.