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Notions About Manifolds

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

Abstract

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.

Keywords

Orthogonal Projection Open Covering Measure Zero Dimensional Manifold Countable Union 
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 1984

Authors and Affiliations

  • Georges de Rham
    • 1
  1. 1.LausanneSwitzerland

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