2 papers
math.CO2020
Order-forcing in Neural Codes
R. Amzi Jeffs, Caitlin Lienkaemper, Nora Youngs
Convex neural codes are subsets of the Boolean lattice that record the intersection patterns of convex sets in Euclidean space. Much work in recent years has focused on finding com…
math.CO2018
Convex Union Representability and Convex Codes
R. Amzi Jeffs, Isabella Novik
We introduce and investigate -convex union representable complexes: the complexes that arise as the nerve of a finite collection of convex open sets in whose union…