The paper constructs infimum and supremum double complexes of differential forms for hypergraphs on manifolds and claims they are quasi-isomorphic under vertex deletion.
Berge, Graphs and hypergraphs
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Double complexes for configuration spaces and hypergraphs on manifolds
The paper constructs infimum and supremum double complexes of differential forms for hypergraphs on manifolds and claims they are quasi-isomorphic under vertex deletion.