Abstract
Using that finite topological spaces are just finite orders, we develop a duality theory for sheaves of Abelian groups over finite spaces following closely Grothendieck's duality theory for coherent sheaves over proper schemes. Since the geometric realization of a finite space is a polyhedron, we relate this duality with the duality theory for Abelian sheaves over polyhedra.
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Communicated by K. Keimel
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González, J.A.N. Duality and finite spaces. Order 6, 401–408 (1990). https://doi.org/10.1007/BF00346134
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DOI: https://doi.org/10.1007/BF00346134