Suppose 
and 
are two chain homomorphisms. Then a chain homotopy
is given by a sequence of maps
 |
such that
 |
where 
denotes the boundary operator.
Chain Homotopy
See also
Chain Complex, Chain Equivalence, Chain Homomorphism, Homotopy, Snake LemmaThis entry contributed by Todd Rowland
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Cite this as:
Rowland, Todd. "Chain Homotopy." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/ChainHomotopy.html