Издательство: | Книга по требованию |
Дата выхода: | июль 2011 |
ISBN: | 978-3-6390-0748-0 |
Объём: | 80 страниц |
Масса: | 141 г |
Размеры(В x Ш x Т), см: | 23 x 16 x 1 |
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.
Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.