Your Waterstones card is changing, introducing...
TELL ME MORE
Non-metrisable Manifolds (Hardback)
  • Non-metrisable Manifolds (Hardback)
zoom

Non-metrisable Manifolds (Hardback)

(author)
£74.99
Hardback 203 Pages / Published: 16/12/2014
  • We can order this

Usually despatched within 3 weeks

  • This item has been added to your basket

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.

Publisher: Springer Verlag, Singapore
ISBN: 9789812872562
Number of pages: 203
Weight: 4557 g
Dimensions: 235 x 155 x 14 mm
Edition: 2014 ed.


MEDIA REVIEWS

"The book is well-organized with two appendices: the first one collects all necessary topological results, and the second one provides preliminaries on set theory. In addition, each chapter has its own abstract and references. ... this book is so-far the only monograph in the literature which gives a comprehensive treatment on non-metrizable manifolds. It is recommended to those readers who have general knowledge on manifolds as topological objects and are curious about what happens beyond the wall of metrizability." (Jiling Cao, zbMATH 1336.57031, 2016)

"First of its kind, this volume by Gauld (Univ. of Auckland, New Zealand) both synthesizes and improves upon the journal literature, demonstrating clearly that non-metrizable manifolds admit profitable study from a variety of vantages (e.g., set theory, differential topology) and exhibit rich and surprising behaviors, using theory built on, but hardly reducible to, the metrizable case. ... Summing Up: Highly recommended. Upper-division undergraduates through professionals/practitioners." (D. V. Feldman, Choice, Vol. 53 (2), October, 2015)

You may also be interested in...

Chaos: A Very Short Introduction
Added to basket
Chaos
Added to basket
£10.99
Paperback
Essential Medical Statistics 2E
Added to basket
Probability and Random Processes
Added to basket
Stochastic Differential Equations
Added to basket
Doing Bayesian Data Analysis
Added to basket
Networks: A Very Short Introduction
Added to basket
Mathematics for Economics and Finance
Added to basket
Mathematical Techniques
Added to basket

Reviews

Please sign in to write a review

Your review has been submitted successfully.