文摘
Given a cohesive sheaf S over a complex Banach manifold M , we endow the cohomology groups Hq(M,S) of M and Hq(U,S) of open covers U of M with a locally convex topology. Under certain assumptions we prove that the canonical map Hq(U,S)→Hq(M,S) is an isomorphism of topological vector spaces.