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

MARC

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245 1 0 |a Ordered groups and topology /  |c Adam Clay, Dale Rolfsen. 
264 1 |a Providence, Rhode Island :  |b American Mathematical Society,  |c [2016] 
300 |a x, 154 pages :  |b illustrations ;  |c 27 cm. 
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490 1 |a Graduate studies in mathematics ;  |v 176 
504 |a Includes bibliographical references and index. 
505 0 |a Orderable groups and their algebraic properties -- Hölder's theorem, convex subgroups and dynamics -- Free groups, surface groups and covering spaces -- Knots -- Three-dimensional manifolds -- Foliations -- Left-orderings of the braid groups -- Groups of homeomorphisms -- Conradian left-orderings and local indicability -- Spaces of orderings. 
520 |a "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. 
650 0 |a Ordered groups.  |0 http://id.loc.gov/authorities/subjects/sh85095368 
650 0 |a Topology.  |0 http://id.loc.gov/authorities/subjects/sh85136089 
650 0 |a Low-dimensional topology.  |0 http://id.loc.gov/authorities/subjects/sh85078631 
650 0 |a Knot theory.  |0 http://id.loc.gov/authorities/subjects/sh85072726 
650 0 |a Manifolds (Mathematics)  |0 http://id.loc.gov/authorities/subjects/sh85080549 
700 1 |a Rolfsen, Dale,  |e author.  |0 http://id.loc.gov/authorities/names/n85064774 
830 0 |a Graduate studies in mathematics ;  |v v. 176.  |0 http://id.loc.gov/authorities/names/n92111274 
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