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Manifolds, Vector Bundles, and Lie Groups

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Partial Differential Equations I

Part of the book series: Applied Mathematical Sciences ((AMS,volume 115))

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Abstract

This appendix provides background material on manifolds, vector bundles, and Lie groups, which are used throughout the book. We begin with a section on metric spaces and topological spaces, defining some terms that are necessary for the concept of a manifold, defined in §2, and for that of a vector bundle, defined in §3. These sections contain mostly definitions; however, a few results about compactness are proved.

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Correspondence to Michael E. Taylor .

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Taylor, M.E. (2011). Manifolds, Vector Bundles, and Lie Groups. In: Partial Differential Equations I. Applied Mathematical Sciences, vol 115. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-7055-8_8

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