Notions About Manifolds

  • Georges de Rham
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 266)


An n dimensional manifold is a separable topological space, each point of which has a neighbourhood homeomorphic to an open n dimensional ball. Moreover we shall always suppose that this space admits a countable base of open sets, that is, there exist a countable sequence of open sets such that any open set may be expressed as a union of sets of the sequence.


Orthogonal Projection Open Covering Measure Zero Dimensional Manifold Countable Union 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • Georges de Rham
    • 1
  1. 1.LausanneSwitzerland

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