On the NBC-complexes and image-invariants of abstract convex geometries Original Research Article

An (abstract) convex geometry is a combinatorial abstraction of convexity which is a Moore family with the closure operator satisfying the anti-exchange property. A number of results of matroids on the NBC-complexes (or broken circuit complexes) happen to have some exact analogues in convex geometries: for instance, the Whitney-Rota’s formula of the characte