SB-labelings and posets with each interval homotopy equivalent to a sphere or a ball
Combinatorics
2017-05-02 v2 Algebraic Topology
Abstract
We introduce a new class of poset edge labelings for locally finite lattices which we call -labelings. We prove for finite lattices which admit an -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.
Keywords
Cite
@article{arxiv.1407.5311,
title = {SB-labelings and posets with each interval homotopy equivalent to a sphere or a ball},
author = {Patricia Hersh and Karola Meszaros},
journal= {arXiv preprint arXiv:1407.5311},
year = {2017}
}
Comments
16 pages; 3 figures; accepted to Journal of Combinatorial Theory Series A