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Homotopy category of chain complexes

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  1. More generally, the homotopy category Ho C of a differential graded category C is defined to have the same objects as C, but morphisms are defined by HomHₒ C(X, Y) = H⁰ HomC (X, Y). (This boils down to the homotopy of chain complexes if C is the

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 12, 2009
  2. the homotopy category K of chain complexes in an additive category A is a framework for working with chain homotopies and homotopy equivalences

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 12, 2009
  3. term from homological algebra in mathematics

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 12, 2009
  4. lies intermediate between the category of chain complexes Kom(A) of A and the derived category D(A) of A when A is abelian

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 12, 2009
  5. unlike the former it is a triangulated category, and unlike the latter its formation does not require that A is abelian

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 12, 2009
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