Simplicial homotopy
In algebraic topology, a simplicial homotopy is an analog of a homotopy between topological spaces for simplicial sets. If
are maps between simplicial sets, a simplicial homotopy from f to g is a map
such that the obvious diagram (see ) formed by f, g and h commute; the key is to use the diagram that results in 
and 
for all x in X.
See also
- Dold–Kan correspondence (under which a chain homotopy corresponds to a simplicial homotopy)
External links
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