Wittmann, Johannes (2019) The Banach manifold C-k(M, N). DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 63. pp. 166-185. ISSN 0926-2245, 1872-6984
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Let M be a compact manifold without boundary and let N be a connected manifold without boundary. For each k is an element of N the set of k times continuously differentiable maps between M and N has the structure of a smooth Banach manifold where the underlying manifold topology is the compact-open C-k topology. We provide a detailed and rigorous proof for this important statement which is already partially covered by existing literature. (C) 2019 Elsevier B.V. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; Banach manifold of C-k-mappings; Compact-open topology; Omega-lemma; Infinite dimensional manifolds |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics Mathematics > Prof. Dr. Bernd Ammann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Apr 2020 07:32 |
| Last Modified: | 15 Apr 2020 07:32 |
| URI: | https://pred.uni-regensburg.de/id/eprint/27314 |
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