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Ordered Groups and Topology (Hardcover)
Loot Price: R3,601
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Ordered Groups and Topology (Hardcover)
Series: Graduate Studies in Mathematics
Expected to ship within 12 - 19 working days
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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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