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

Manifold Topo 

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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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