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Differentiable Manifolds and Mappings, Tangents, Vectorfields

  • Egbert Dierker
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 92)

Abstract

Note that Hausdorff is not a local property . Hence it cannot be dropped fomr definition . Take for example two copies of the real line and identity all pairs of points which have equal coordinates different from zero . The resulting space is locally Euclidean but not Hausdorff since the two origins do not have disjoint neighborhoods . To get an example for a locally Euclidean Hausdorff well-ordered set of half open intervals.

Keywords

Integral Curve Differentiable Manifold Differentiable Structure Disjoint Neighborhood Symmetric Bilinear Mapping 
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 1974

Authors and Affiliations

  • Egbert Dierker
    • 1
  1. 1.Wirtschaftstheoretische AbteilungInst, für Gesellschafts- und WirtschaftswissenschaftenBonnGermany

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