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Introduction

  • Morris W. Hirsch
Part of the Graduate Texts in Mathematics book series (GTM, volume 33)

Abstract

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 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.

Keywords

Vector Bundle Riemann Surface General Position Homotopy Class Algebraic Topology 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York Inc. 1976

Authors and Affiliations

  • Morris W. Hirsch
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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