Ordered Groups and Topology
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Word Count
38,500 words, Guess
Page Count
154 pages
Identifiers
- ISBN-139781470431068
- ISBN-101470431068
- Library of Congress Control Number2016029680
- OCLC Control Number952567244
- Better World Books9781470431068
and 1 more
- Open LibraryOL37266201M
Classifications
- LCCQA174.2.C53 2016
- LCCQA174.2 .C53 2016
Description
"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.
Subjects
Topics
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