Speaker
Peter Nelson
(University of Waterloo)
Description
There are at least two well-studied ways to extend matroids to more general objects - one can allow the ground set to be infinite, or instead define the concept of independence on a lattice other than a set lattice. I will give several cryptomorphic definitions of an object that generalizes a matroid in both these ways at once, and argue that they are (in some ways) nicer than the usual finite matroid axioms. This is joint work with Andrew Fulcher.
Primary author
Peter Nelson
(University of Waterloo)
Co-author
Andrew Fulcher
(University College Dublin)