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homology -- general homology functor

homology(f,g) -- computes the homology module (kernel f)/(image g).
homology -- a method name available for computing expressions of the forms HH_i(X) and HH_i(M,N).

If it is intended that i be of class ZZ, M be of class A, and N be of class B, then the method can be installed with

          homology(ZZ, A, B) := opts -> (i,M,N) -> ...

See also:

  • HH -- general homology and cohomology functor
  • cohomology -- general cohomology functor
  • ScriptedFunctor -- the class of all scripted functors
  • Ways to use homology :

  • HH ChainComplex -- homology of a chain complex
  • HH ChainComplexMap
  • HH_ZZ Sequence
  • HH_ZZ ChainComplex -- homology of a chain complex
  • HH_ZZ ChainComplexMap -- homology of a chain complex map
  • homology(Matrix,Matrix) -- kernel modulo image
  • homology(Nothing,Sequence)
  • homology(Nothing,ChainComplex)
  • homology(Nothing,ChainComplexMap)
  • Optional arguments :


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