Two homology cycles 
in a chain
complex 
are homologous if their difference is a boundary,
i.e., if 
.
A portion of the chain complex is
 |
Its 
th homology
group is 
.
Homologous
This entry contributed by Rasmus Hedegaard
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Cite this as:
Weisstein, Eric W., with contributions by Rasmus Hedegaard. "Homologous." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Homologous.html