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Simplicial homotopy : ウィキペディア英語版 | 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)
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