Chain Homotopy

Suppose and are two chain homomorphisms. Then a chain homotopy is given by a sequence of maps

such that

where denotes the boundary operator.

See also

Chain Complex, Chain Equivalence, Chain Homomorphism, Homotopy, Snake Lemma

This entry contributed by Todd Rowland

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Cite this as:

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

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