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Packages » SpectralSequences :: connectingMorphism(ChainComplexMap,ZZ)

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connectingMorphism(ChainComplexMap,ZZ) -- use spectral sequences to compute connecting morphisms

Synopsis

Function: connectingMorphism
Usage:

g = connectingMorphism(f, n)
Inputs:
- f, a chain complex map,
- n, an integer,
Outputs:
- g, a matrix,

Description

Given a morphism $f: A \rightarrow B$ of chain complexes returns the connecting map $H_{n+1}(coker f) \rightarrow H_n (im f)$.

Ways to use this method:

connectingMorphism(ChainComplexMap,ZZ) -- use spectral sequences to compute connecting morphisms