In many branches of mathematics one finds spaces that can be described locally by n-tuples of real numbers. Such objects are called manifolds: a manifold is a topological space which is locally homeomorphic to Euclidean n-space ℝ n . We can think of a manifold as being made of pieces of ℝn glued together by homeomorphisms. If these homeomorphisms are chosen to be differentiable, we obtain a differentiable manifold. This book is concerned mainly with differentiable manifolds.
KeywordsVector Bundle Riemann Surface General Position Homotopy Class Algebraic Topology
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