Sign up ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Let $\Delta$ be an abstract simplicial complex. Then for $B\in \Delta$ and $A\subseteq B$ we have that $A\in\Delta$. If we define $V$ to be the set of faces of $\Delta$, construct a directed edge from $B$ to $A$ if $A$ is a face of $B$ (i.e. $A\subseteq B$) and define $E$ to be the set of directed edges, then will $\Gamma=(V,E)$ be a quiver?

share|cite|improve this question

1 Answer 1

up vote 3 down vote accepted

Yes, and it's the poset of faces ordered by inclusion.

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.