%0 Journal Article
%T The M£¿bius function of partitions with restricted block size
%A Richard Ehrenborg
%A Margaret Readdy
%J Mathematics
%D 2010
%I arXiv
%X We study filters in the partition lattice formed by restricting to partitions by type. The M\"obius function is determined in terms of the easier-to-compute descent set statistics on permutations and the M\"obius function of filters in the lattice of integer compositions. When the underlying integer partition is a knapsack partition, the M\"obius function on integer compositions is determined by a topological argument. In this proof the permutahedron makes a cameo appearance.
%U http://arxiv.org/abs/1009.3976v1