Ordered Groups and Topology (Graduate Studies in Mathematics) - Hardcover

Clay, Adam; Rolfsen, Dale

Hardcover

ISBN 10: 1470431068 ISBN 13: 9781470431068

Publisher: American Mathematical Society, 2016

Synopsis

This book deals with the connections between topology and ordered groups. It begins with a self-contained introduction to orderable groups and from there explores the interactions between orderability and objects in low-dimensional topology, such as knot theory, braid groups, and 3-manifolds, as well as groups of homeomorphisms and other topological structures. The book also addresses recent applications of orderability in the studies of codimension-one foliations and Heegaard-Floer homology. The use of topological methods in proving algebraic results is another feature of the book. The book was written to serve both as a textbook for graduate students, containing many exercises, and as a reference for researchers in topology, algebra, and dynamical systems. A basic background in group theory and topology is the only prerequisite for the reader.

About this title

About the Author:

Adam Clay, University of Manitoba, Winnipeg, MB, Canada. Dale Rolfsen, University of British Columbia, Vancouver, BC, Canada.

About this edition

• Publisher: American Mathematical Society
• Publication date: 2016
• ISBN 10: 1470431068
• ISBN 13: 9781470431068
• Binding: Hardcover
• Number of pages: 154