The poset of posets
Algebraic Topology
2013-11-12 v1 Combinatorics
Group Theory
Abstract
Let X be a finite set. This paper describes some topological and combinatorial properties of the poset \Omega_X of order relations on X. In particular, the homotopy type of all the intervals in \Omega_X is precisely determined, and the M\"obius function of \Omega_X is computed.
Keywords
Cite
@article{arxiv.1311.2219,
title = {The poset of posets},
author = {Serge Bouc},
journal= {arXiv preprint arXiv:1311.2219},
year = {2013}
}