A chain homotopy between two chain homomorphisms 
and 
is a sequence
of group homomorphisms or module
homomorphisms, according to the category of the
chain complexes,
 |
 |
where 
denotes the boundary operator.
Chain Homotopy
See also
Chain Complex, Chain Equivalence, Chain Homomorphism, Homotopy, Homotopy Category, Snake LemmaPortions of 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