Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5777515 | Journal of Combinatorial Theory, Series A | 2017 | 17 Pages |
Abstract
We introduce a new class of edge labelings for locally finite lattices which we call SB-labelings. We prove for finite lattices which admit an SB-labeling that each open interval has the homotopy type of a ball or of a sphere of some dimension. Natural examples include the weak order, the Tamari lattice, and the finite distributive lattices.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Patricia Hersh, Karola Mészáros,