Combinatorics Seminar- Does Every Infinite Geometric Lattice of Finite Rank Have a Matching?  A "Challenging Question" of Björner from 1976

Speaker: Jonathan David Farley, Morgan State University
Date and time: Thursday, February 14, 4-5pm
Place: Rome 352
Title: Does Every Infinite Geometric Lattice of Finite Rank Have a Matching?  A "Challenging Question" of Björner from 1976

Abstract: At the 1981 Banff Conference on Ordered Sets, Anders Björner asked if every geometric lattice of finite rank greater than 1 had a matching between the points and hyperplanes, a question he called "challenging" in 1976.  The matching sought is an injection from points to hyperplanes that matches a point to a hyperplane over it.  We answer Björner's question.