Sheaf coalgebras and duality |
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Authors: | Janez Mr?un |
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Institution: | Department of Mathematics, University of Ljubljana, Jadranska 19, 1000 Ljubljana, Slovenia |
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Abstract: | In this paper we construct an adjoint pair of functors between the category of sheaves on a smooth manifold M and the category of coalgebras over the ring of smooth functions with compact support on M. We show that the sheaf coalgebra associated to a sheaf E on M determines the sheaf E uniquely up to an isomorphism, and that the adjoint functors restrict to an equivalence between sheaves on M and sheaf coalgebras over . |
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Keywords: | 16W30 18F20 |
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