Let 
denote a chain
complex, a portion of which is shown below:
 |
Let 
denotes
the 
th homology
group. Then two homology cycles 
are said to be homologous, if their difference
is a boundary, i.e., if 
.
Homologous
This entry contributed by Rasmus Hedegaard
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Hedegaard, Rasmus. "Homologous." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/Homologous.html