VDM Verlag Dr. Mueller E.K.
Graph Groupoids and their Topology
Product Code:
9783639007480
ISBN13:
9783639007480
Condition:
New
$53.25
Graph Groupoids and their Topology
$53.25
The book investigates graph groupoids and the path spaces associated with their unit spaces. Three main questions are solved. For the first, a natural question that was asked by A.Kumjian in the case of the Cuntz graph was how the topological space X relates to an earlier topological space investigated by J. Renault (Orleans). I show that the two topological spaces are homeomorphic and so can be identified. I then discuss the graph groupoid in the general case. For this investigation, it is important to be able to use the axiomatic approach to groupoids, and I show that this is equivalent to the usual definition of a groupoid as a "small category with inverses". This proof of this equivalence answers the second main question. The last is to construct the graph groupoid and prove that it is a second countable, locally compact, Hausdorff groupoid.
| Author: Adrian Wilson |
| Publisher: VDM Verlag Dr. Mueller E.K. |
| Publication Date: Jul 30, 2008 |
| Number of Pages: 84 pages |
| Binding: Paperback or Softback |
| ISBN-10: 3639007484 |
| ISBN-13: 9783639007480 |
Related Products
Vieweg+teubner Verlag
The Open Mapping and Closed Graph Theorems in Topological Vector Spaces
$61.47
