Supplement for Manifolds and Differential Geometry Jeffrey M. Lee

Contents
§-1.1. Main Errata 1
Chapter 0. Background Material 7
§0.1. Sets and Maps 7
§0.2. Linear Algebra (under construction) 13
§0.3. General Topology (under construction) 18
§0.4. Shrinking Lemma 19
§0.5. Calculus on Euclidean coordinate spaces (underconstruction) 20
§0.6. Topological Vector Spaces 23
§0.7. Differential Calculus on Banach Spaces 28
§0.8. Naive Functional Calculus. 50
§0.9. Attaching Spaces and Quotient Topology 58
§0.10. Problem Set 60
Chapter 1. Chapter 1 Supplement 65
§1.1. Comments and Errata 65
§1.2. Rough Ideas I 65
§1.3. Pseudo-Groups and Models Spaces 72
§1.4. Sard’s Theorem 77
Chapter 2. Chapter 2 Supplement 81
§2.1. Comments and Errata 81
§2.2. Time Dependent Vector Fields 81
Chapter 5. Chapter 5 Supplement 85
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