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...
Uniform Title: | Graduate studies in mathematics ;
v. 176. |
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Main Authors: | |
Language: | English |
Published: |
Providence, Rhode Island :
American Mathematical Society,
[2016]
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Series: | Graduate studies in mathematics ;
v. 176. |
Subjects: | |
Physical Description: | x, 154 pages : illustrations ; 27 cm. |
Format: | Book |
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. |
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Call Number: | QA174.2 .C53 2016 |
Bibliography Note: | Includes bibliographical references and index. |
ISBN: | 9781470431068 1470431068 |