Web19 de nov. de 2024 · Abstract. We verify a conjecture of Vershik by showing that Hall's universal countable locally finite group can be embedded as a dense subgroup in the isometry group of the Urysohn space and in the automorphism group of the random graph. In fact, we show the same for all automorphism groups of known infinite … WebDOI: 10.1007/s11083-012-9252-6 Corpus ID: 254890825; Automorphism Groups of Countably Categorical Linear Orders are Extremely Amenable @article{Dorais2012AutomorphismGO, title={Automorphism Groups of Countably Categorical Linear Orders are Extremely Amenable}, author={François G. Dorais and …
[1109.3811v2] On the isometry group of the Urysohn space
WebTopology of the isometry group of the Urysohn space Melleray, Julien Using classical results of infinite-dimensional geometry, we show that the isometry group of the Urysohn space, endowed with its usual Polish group topology, is … WebWe give a general criterion for the (bounded) simplicity of the automorphism groups of certain countable structures and apply it to show that the isometry group of the Urysohn space modulo the normal subgroup of bounded isometries is a simple group. 1 Keyphrases isometry group urysohn space impact of communication skills essay
CiteSeerX — On the isometry group of the Urysohn space
Web2 de jul. de 2009 · Using classical results of infinite-dimensional geometry, we show that the isometry group of the Urysohn space, endowed with its usual Polish group topology, … WebIn this dissertation we study a special sub-collection of Polish metric spaces: complete separable ultrametric spaces. Polish metric spaces have been studied for quite a long while, and a lot of results have been obtained. Motivated by some of earlier research, we work on the following two main parts in this dissertation. In the first part, we show the … WebarXiv:1109.3811v2 [math.GR] 22 Oct 2011 On the isometry group of the Urysohn space Katrin Tent and Martin Ziegler 22. October 2011 Abstract We give a general criterion for the simplicity of the ... impact of colonialism in india pdf