Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660501 | Topology and its Applications | 2007 | 18 Pages |
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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Physical Sciences and Engineering
Mathematics
Geometry and Topology