Preface
Chapter 1.Perspectives on Manifolds
1.1.Topological Manifolds
1.2.Differentiable Manifolds
1.3.Oriented Manifolds
1.4.Triangulated Manifolds
1.5.Geometric Manifolds
1.6.Connected Sums
1.7.Equivalence of Categories
Chapter 2.Surfaces
2.1.A Few Facts about 1-Manifolds
2.2.Classification of Surfaces
2.3.Decompositions of Surfaces
2.4.Covering Spaces and Branched Covering Spaces
2.5.Homotopy and Isotopy on Surfaces
2.6.The Mapping Class Group
Chapter3.3-Manifolds
3.1.Bundles
3.2.The Schonflies Theorem
3.3.3-Manifolds that are Prime but Reducible
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