Non-metrisable Manifolds

By:

David Gauld

Format:

Hardback

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Description

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.

Release date NZ

December 16th, 2014

Author

David Gauld

Audience

Professional & Vocational

Illustrations

6 Illustrations, color; 45 Illustrations, black and white; XVI, 203 p. 51 illus., 6 illus. in color.

Pages

203

Dimensions

155x235x14

ISBN-13

9789812872562

Product ID

22826151

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