In algebraic topology, a simplicial homotopy[1]pg 23 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 diagram (see [1]) formed by f, g and h commute; the key is to use the diagram that results in
f ( x ) = h ( x , 0 )
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