On the Topology of Nested Set Complexes
نویسنده
چکیده
Nested set complexes appear as the combinatorial core of De ConciniProcesi arrangement models. We show that nested set complexes are homotopy equivalent to the order complexes of the underlying meet-semilattices without their minimal elements. For atomic semilattices, we consider the realization of nested set complexes by simplicial fans proposed in [FY], and we strengthen our previous result showing that in this case nested set complexes in fact are homeomorphic to the mentioned order complexes.
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