论文标题
普遍多样性的汽车群体
Automorphism groups of universal diversities
论文作者
论文摘要
我们证明,Urysohn多样性的自动形态群体是一个普遍的波兰群体。此外,我们表明,理性的Urysohn多样性的自动形态群体具有足够的仿制药,一个密集的共轭类别,并且它密集地嵌入了(完整的)Urysohn多样性的自动形态群体中。因此,后一个小组也有一个密集的共轭班。
We prove that the automorphism group of the Urysohn diversity is a universal Polish group. Furthermore we show that the automorphism group of the rational Urysohn diversity has ample generics, a dense conjugacy class and that it embeds densely into the automorphism group of the (full) Urysohn diversity. It follows that this latter group also has a dense conjugacy class.