ALH-2018

Title. Some two-dimensional lattices that fail distributivity or fail modularity and some other laws

Author. Walter Taylor

Institution. Mathematics Department, University of Colorado, Boulder

Abstract. For $L$ a finite simple lattice, we can examine the class of topological spaces that can support a lattice (with continuous operations) that admits $L$ as a 0,1-sublattice. We consider this problem for various modular $L$, such as $M_n$ ($n\geq 3$) and possibly $M_{p,q}$. Also a brief look at the distributive case. So far our spaces are small finite geometric examples, very user-friendly.