411 REFERENCE · Wikibooks
Algebraic Topology/Singular homology
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
standard n-simplex The standard -simplex is the set
.
singular chain complex Let be a topological space. The singular chain complex associated to is the chain complex of abelian groups whose -th group is given by the free abelian group over all continuous functions and whose differential is given by the linear extension of the formula
for continuous,
where .