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math.GR2024★ 1 cited
Cohen--Macaulay Complexes, Duality Groups, and the dualizing module of
Richard D. Wade, Thomas A. Wasserman
We explain how Cohen--Macaulay classifying spaces are ubiquitous among discrete groups that satisfy Bieri--Eckmann duality, and compare Bieri--Eckmann duality to duality results fo…
math.AT2024★ 1 cited
Duality for Cohen--Macaulay Complexes through Combinatorial Sheaves
Richard D. Wade, Thomas A. Wasserman
We prove a duality theorem for Cohen--Macaulay simplicial complexes. This is a generalisation of Poincaré Duality, framed in the language of combinatorial sheaves. Our treatment is…