Analytic cohomology groups of infinite dimensional complex manifolds
Lempert, Laszlo
Original · EN
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.
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