Oriented matroids and combinatorial neural codes
Oriented matroids and combinatorial neural codes
A combinatorial neural code \({\mathscr C}\subseteq 2^{[n]}\) is called convex if it arises as the intersection pattern of convex open subsets of \(\mathbb{R}^d\). We relate the emerging theory of convex neural codes to the established theory of oriented matroids, both with respect to geometry and computational complexity and categorically. For …