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On Polyhedral Product Spaces over Polyhedral Joins

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 Added by Elizabeth Vidaurre
 Publication date 2017
  fields
and research's language is English




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The construction of a simplicial complex given by polyhedral joins (introduced by Anton Ayzenberg), generalizes Bahri, Bendersky, Cohen and Gitlers $J$-construction and simplicial wedge construction. This article gives a cohomological decomposition of a polyhedral product over a polyhedral join for certain families of pairs of simplicial complexes. A formula for the Hilbert-Poincar{e} series is given, which generalizes Ayzenbergs formula for the moment-angle complex.



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