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math.CO2008
Homotopy Type of the Boolean Complex of a Coxeter System
Kari Ragnarsson, Bridget Eileen Tenner
In any Coxeter group, the set of elements whose principal order ideals are boolean forms a simplicial poset under the Bruhat order. This simplicial poset defines a cell complex, ca…
math.CO2008
Obtainable Sizes of Topologies on Finite Sets
Kari Ragnarsson, Bridget Eileen Tenner
We study the smallest possible number of points in a topological space having k open sets. Equivalently, this is the smallest possible number of elements in a poset having k order…