Differentiable Manifolds

  • Glen E. Bredon
Part of the Graduate Texts in Mathematics book series (GTM, volume 139)


In this section we will prove the Implicit Function Theorem and the Inverse Function Theorem in sufficient generality for our use. Readers who think they already know these theorems, or who are willing to accept them, can skip this section, but they are advised to at least read the statements. This section is self-contained.


Vector Field Vector Bundle Tangent Space Tangent Vector Fiber Bundle 


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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Glen E. Bredon
    • 1
  1. 1.Department of MathematicsRutgers UniversityNew BrunswickUSA

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