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effaceably
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Effaceably might refer to |
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In mathematics, an effaceable functor is an additive functor F between abelian categories C and D for which, for each object A in C, there exists a monomorphism * * * * u * : * A * → * M * * * {\displaystyle u:A\to M} * , for some M, such that * * * * F * ( * u * ) * = * 0 * * * {\displaystyle F(u)=0} * . Similarly, a coeffaceable functor is one for which, for each A, there is an epimorphism into A that is killed by F. The notions were introduced in Grothendieck's Tohoku paper. * A theorem of Grothendieck says that every effaceble δ-functor (i.e., effaceable in each degree) is universal. |