Non-metrisable Manifolds

Nonfiction, Science & Nature, Mathematics, Topology, Science, Physics, Chaotic Behavior
Cover of the book Non-metrisable Manifolds by David Gauld, Springer Singapore
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: David Gauld ISBN: 9789812872579
Publisher: Springer Singapore Publication: December 4, 2014
Imprint: Springer Language: English
Author: David Gauld
ISBN: 9789812872579
Publisher: Springer Singapore
Publication: December 4, 2014
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer Singapore

Cover of the book An Introduction to Food Grade Nanoemulsions by David Gauld
Cover of the book Computer Vision and Audition in Urban Analysis Using the Remorph Framework by David Gauld
Cover of the book The Belt & Road Initiative in the Global Arena by David Gauld
Cover of the book The Middle and Upper Paleolithic Archeology of the Levant and Beyond by David Gauld
Cover of the book Advances in Summability and Approximation Theory by David Gauld
Cover of the book Stroke Revisited: Diagnosis and Treatment of Ischemic Stroke by David Gauld
Cover of the book The Language and Iconography of Chinese Charms by David Gauld
Cover of the book Big Data Applications and Services 2017 by David Gauld
Cover of the book Asymmetric Kernel Smoothing by David Gauld
Cover of the book Mathematics, Affect and Learning by David Gauld
Cover of the book The Practices of School Middle Leadership by David Gauld
Cover of the book Power System Operation with Large Scale Stochastic Wind Power Integration by David Gauld
Cover of the book Mineral Exploration: Practical Application by David Gauld
Cover of the book Teachers as Self-directed Learners by David Gauld
Cover of the book Probiotics and Plant Health by David Gauld
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy