Ordered Groups and Topology

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  • Ordered Groups and Topology Book Detail

  • Author : Adam Clay
  • Release Date : 2016-11-16
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 167
  • ISBN 13 : 1470431068
  • File Size : 99,99 MB

Ordered Groups and Topology by Adam Clay PDF Summary

Book 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.

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