We begin with a presentation of the current state of Poljak and Turzik's conjecture that a matroid is sticky if and only if it is modular as described in [5] and [1]. We show that all graphic, cographic, and regular matroids must satisfy the...
We consider join congruence relations on geometric lattices from three different points of view. First, recognizing that every matroid has an associated geometric lattice, we consider matroid operations and give conditions for when it is possible...