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math.CO2026
The Geometry of Rectangular Multisets
Michael Dougherty, Jon McCammond
This article describes a natural piecewise Euclidean bi-simplicial cell structure for the space of -element multisets in a fixed Euclidean rectangle. In particular, we highlight…
math.CO2025
Extended Weak Order for the Rank 3 Universal Coxeter Group
Grant Barkley, Colin Defant, Patricia Hersh +3
The weak order is a classical poset structure on a Coxeter group; it is a lattice when the group is finite but merely a meet-semilattice when the group is infinite. Motivated by pr…