Non-metrisable Manifolds

• Κύριος συγγραφέας: Gauld, David (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Singapore : Springer Singapore : Imprint: Springer, 2014.
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.