Theorem 5.4: bijection between generic tropical oriented matroids and matching ensembles

A generic $(n,d)$-tropical oriented matroid is a tropical oriented matroid whose associated structures are generic, and an $(n,d)$-matching ensemble is the matching-field encoding introduced for generic tropical oriented matroids. Bijection theorem. Generic $(n,d)$-tropical oriented matroids are in bijection with $(n,d)$-matching ensembles. This gives an equivalent combinatorial encoding of generic tropical oriented matroids by matching ensembles, extending the correspondence used to study their linkage and tope arrangements.