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1 vote

Morse matching with 0-cells and (n-1)-cells

In this answer, I want to 1) give a shorter approach than the above (avoiding gradient paths) to see that $\Delta P$ is homotopy equivalent to a disjoint union of bouquet of spheres plus isolated vert …
Russ Woodroofe's user avatar
10 votes

What is the Möbius function for the lattice of partial partitions?

Hersh, Hanlon, and Shareshian characterize the Möbius function of this lattice in a never-published preprint: A $\operatorname{GL}_n(q)$ analogue of the partition lattice. It is often 0, but/and agree …
Russ Woodroofe's user avatar