Ordered Groups and Topology, PDF eBook

Ordered Groups and Topology PDF

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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.

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