Ordered groups and topology / Adam Clay, Dale Rolfsen.

"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 we...

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Bibliographic Details
Uniform Title:Graduate studies in mathematics ; v. 176.
Main Authors: Clay, Adam (Adam J.), 1981- (Author)
Rolfsen, Dale (Author)
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [2016]
Series:Graduate studies in mathematics ; v. 176.
Subjects:
Physical Description:x, 154 pages : illustrations ; 27 cm.
Format: Book
Description
Summary:
"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" -- From the publisher.
Call Number:QA174.2 .C53 2016
Bibliography Note:Includes bibliographical references and index.
ISBN:9781470431068
1470431068