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Abstract: We generalize the concept of combinatorial nested set complexes to posets andexhibit the topological relationship between the arising nested set complexesand the order complex of the underlying poset. In particular, a sufficientcondition is given so that this relationship is actually a subdivision. We usethe results to generalize the proof method of \v{C}uki\-c and Delucchi, so farrestricted to semilattices, for a result of Bj\-orner, Paffenholz, Sj\-ostrandand Ziegler on the Bier construction on posets.



Author: Juliane Lehmann

Source: https://arxiv.org/







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