Non-metrisable Manifolds

Manifolds fall naturally into two classes depending on whether they can be fitted with a distance measuring function or not. The former, metrisable manifolds, and especially compact manifolds, have been intensively studied by topologists for over a century, whereas the latter, non-metrisable manifol...

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Bibliographic Details
Main Author: Gauld, David
Format: eBook
Language:English
Published: Singapore Springer Nature Singapore 2014, 2014
Edition:1st ed. 2014
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Topological Manifolds
  • Edge of the World: When are Manifolds Metrisable?
  • Geometric Tools
  • Type I Manifolds and the Bagpipe Theorem
  • Homeomorphisms and Dynamics on Non-Metrisable Manifolds
  • Are Perfectly Normal Manifolds Metrisable?
  • Smooth Manifolds
  • Foliations on Non-Metrisable Manifolds
  • Non-Hausdorff Manifolds and Foliations