Non-metrisable manifolds [electronic resource] / David Gauld.

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Non-metrisable manifolds [electronic resource] / David Gauld.

9789812872579 electronic book
9812872574 electronic book
9789812872562
9812872566

Singapore : Springer, [2014]

©2014

English

1 online resource : illustrations.

10.1007/978-981-287-257-9 doi

QA613

516.07

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.

Includes bibliographical references and index.

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Description based on online resource; title from PDF title page (viewed December 23, 2014).

Print version: 9789812872562

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