{"product_id":"9783639007480","title":"Graph Groupoids and Their Topology","description":"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.","brand":"VDM Verlag Dr. Mueller E.K.","offers":[{"title":"Default Title","offer_id":47058670026992,"sku":"9783639007480","price":64.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9783639007480_p0.jpg?v=1763727226","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9783639007480","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}