f = map(E,D,M)f = map(D,M)A simplicial map $f: \Delta \to \Gamma$ is a function that sends the vertices of $\Delta$ to vertices of $\Gamma$, with the added condition that if $\{ v_1, v_2,..,v_k \} \in \Delta$, then $\{ f(v_1), f(v_2), ..., f(v_n) \} \in \Gamma$. If no target is specified, it is assumed that the target is the simplicial complex whose faces are $f(F)$ for all faces $F \in \Delta$. As a first example, let's look at the identity map on a 3-simplex.
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Here is a slightly more interesting example.
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