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HH_ZZ ChainComplexMap -- homology of a chain complex map

Synopsis:

  • Function: homology -- general homology functor
  • Input:
  • an instance of class ZZ.
  • an instance of class ChainComplexMap.
  • Output:
  • an instance of class Matrix.
  • Optional arguments :

  • HH_i f -- provides the map on the i-th homology module by a map f of chain complexes.

    See also:

  • homology -- general homology functor
  • HH -- general homology and cohomology functor
  • Code:

         -- ../../../Macaulay2/m2/chaincomplexes.m2:452-454
         homology(ZZ,ChainComplexMap) := Matrix => opts -> (i,f) -> (
              inducedMap(homology(i+degree f,target f), homology(i,source f),f_i)
              )

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