Non-metrisable Manifolds

• Main Author: Gauld, David (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2014.
• Subjects: Mathematics.; Algebraic topology.; Manifolds (Mathematics).; Complex manifolds.; Statistical physics.; Manifolds and Cell Complexes (incl. Diff.Topology).; Nonlinear Dynamics.; Algebraic Topology.

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...

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.