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Chain Homomorphism

A chain homomorphism is also called a chain map. Given two chain complexes C_* and D_*, a chain homomorphism is given by homomorphisms alpha_i:C_i->D_i such that

alpha degreespartial_C=partial_D degreesalpha,

where partial_C and partial_D are the boundary operators.

See also

Chain Complex, Chain Equivalence, Chain Homotopy, Module Homomorphism

This entry contributed by Todd Rowland

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Cite this as:

Weisstein, Eric W., with contributions by Todd Rowland. "Chain Homomorphism." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ChainHomomorphism.html

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