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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 w.
This book deals with the connections between topology and ordered groups. It begins with a self-contained introduction to orderable groups and from there explor
This book deals with the connections between topology and ordered groups. It begins with a self-contained introduction to orderable groups and from there explor
The study of groups equipped with a compatible lattice order ("lattice-ordered groups" or "I!-groups") has arisen in a number of different contexts. Examples of
A partially ordered group is an algebraic object having the structure of a group and the structure of a partially ordered set which are connected in some natura
A partially ordered group is an algebraic object having the structure of a group and the structure of a partially ordered set which are connected in some natura
