Topological Foundations

  • Jürgen Jost
Part of the Universitext book series (UTX)


A manifold of dimension n is a connected Hausdorff space M for which every point has a neighbourhood U that is homeomorphic to an open subset V of ℝ n . Such a homeomorphism
$$f:U \to V$$
is called a (coordinate) chart.


Equivalence Class Conjugacy Class Fundamental Group Homotopy Class Terminal Point 
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 Berlin Heidelberg 1997

Authors and Affiliations

  • Jürgen Jost
    • 1
  1. 1.Max Planck Institute for Mathematics in the SciencesLeipzigGermany

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