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Holomorphic manifolds on locally convex spaces
Authors:Tsoy-Wo Ma
Institution:(1) School of Mathematics and Statistics, University of Western Australia, 6907 Nedlands, W.A., Australia
Abstract:Based on locally compact perturbations of the identity map similar to the Fredholm structures on real Banach manifolds, complex manifolds with inverse mapping theorem as part of the defintion are proposed. Standard topics including holomorphic maps, morphisms, derivatives, tangent bundles, product manifolds and submanifolds are presented. Although this framework is elementary, it lays the necessary foundation for all subsequent developments.
Keywords:Holomorphic manifolds  infinite dimensional manifolds  complex manifolds  LOCALLY CONVEX SPACES  foundation  developments  framework  elementary  product  submanifolds  tangent  derivatives  Standard  topics  holomorphic maps  complex  inverse  mapping  theorem  Based  locally compact  perturbations  identity
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