David Gauld: Non-metrisable Manifolds

Cover: 9789812872562 | Non-metrisable Manifolds | David Gauld | Buch | XVI | Englisch | 2014

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Beschreibung

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 manifolds, are much more abundant but have a more modest history, having become of increasing interest only over the past 40 years or so. The first book on this topic, this book ranges from criteria for metrisability, dynamics on non-metrisable manifolds, Nyikos¿s Bagpipe Theorem and whether perfectly normal manifolds are metrisable to structures on manifolds, especially the abundance of exotic differential structures and the dearth of foliations on the long plane. A rigid foliation of the Euclidean plane is described. This book is intended for graduate students and mathematicians who are curious about manifolds beyond the metrisability wall, and especially the use of Set Theory as a tool.

Zusammenfassung

The first dedicated book on understanding non-metrisable manifolds

The interesting boundary between metrisability and non-metrisability for a manifold is addressed

Highlights over 25 years of research on Manifolds/Topology

Includes supplementary material: [...]

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2014
Fachbereich:	Geometrie
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xvi 203 S. 45 s/w Illustr. 6 farbige Illustr. 203 p. 51 illus. 6 illus. in color.
ISBN-13:	9789812872562
ISBN-10:	9812872566
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Gauld, David
Hersteller:	Springer Singapore Springer Nature Singapore
Maße:	241 x 160 x 18 mm
Von/Mit:	David Gauld
Erscheinungsdatum:	16.12.2014
Gewicht:	0,5 kg

Artikel-ID: 105087730