Ordered Groups and Topology

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Ordered Groups and Topology

Ordered Groups and Topology

Name: Ordered Groups and Topology
ISBN: 9781470431068

Adam Clay, Dale Rolfsen

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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.

الفئات:

Mathematics

عام:

2016

الناشر:

American Mathematical Society

اللغة:

english

الصفحات:

154

ISBN 10:

1470431068