Ordered Groups and Topology PDF
by Adam Clay
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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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- Format:PDF
- Pages:154 pages
- Publisher:American Mathematical Society
- Publication Date:01/01/1900
- Category:
- ISBN:9781470435622
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- Hardback from £110.05
Information
-
Download Now
- Format:PDF
- Pages:154 pages
- Publisher:American Mathematical Society
- Publication Date:01/01/1900
- Category:
- ISBN:9781470435622