Ordered Groups and Topology

Inbunden, Engelska, 2016

Del i serien Graduate Studies in Mathematics

1 536 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2016-11-30
Mått:152 x 229 x undefined mm
Vikt:455 g
Format:Inbunden
Språk:Engelska
Serie:Graduate Studies in Mathematics
Antal sidor:154
Förlag:American Mathematical Society
ISBN:9781470431068

Utforska kategorier

Topologi inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

Mer om författaren

Adam Clay, University of Manitoba, Winnipeg, MB, Canada.Dale Rolfsen, University of British Columbia, Vancouver, BC, Canada.

Recensioner i media

The book finds a good balance between being a resource for researchers and a graduate textbook." - Sebastian Wolfgang Hensel, Mathematical Reviews"The diligent and disciplined reader of this thin (<150 pp) book will be rewarded by a lot more than knowledge of ordered groups." - Lee P. Neuwirth, Zentralblatt MATH"Given the huge popularity enjoyed by low dimensional topology these days, and all for good reason, it should make a very positive impact. The book is easy to read and deals with very pretty mathematics." - Michael Berg, MAA Reviews

Innehållsförteckning

Orderable groups and their algebraic properties Hölder’s theorem, convex subgroups and dynamics Free groups, surface groups and covering spaces Knots Three-dimensional manifolds Foliations Left-orderings of the braid groups Groups of homeomorphisms Conradian left-orderings and local indicability Spaces of orderings Bibliography