Ordered Groups and Topology
Author | : Adam J. Clay |
Publisher | : |
Total Pages | : |
Release | : 2016 |
ISBN-10 | : 1470435624 |
ISBN-13 | : 9781470435622 |
Rating | : 4/5 (622 Downloads) |
Download or read book Ordered Groups and Topology written by Adam J. Clay and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 w.