I begin by recalling the definition of contiguous simplicial maps between abstract simplicial complexes:

**Definition.** Two simplicial maps $\varphi,\psi\colon K \to L$ are said to be *contiguous* if for every simplex $\sigma \in K$, $\varphi(\sigma) \cup \psi(\sigma)$ is a simplex of $L$.

Now I wonder whether this notion has been extended for more general contexts such as simplicial sets or $\Delta$-complexes.

**Question.** Has it been studied a notion of contiguity for simplicial maps between simplicial sets (or $\Delta$-complexes)? If that is the case could you provide me a reference.

Thanks in advance.