泛Knaster连续统的同胚群
The homeomorphism group of the universal Knaster continuum
摘要：
我们定义了一个射影Fraissé族，其极限近似于普适Knaster连续统。这个族是这样的：弗莱斯极限的自同构群$\textrm{Aut}(\mathbb{K})$是普适Knaster连续统的同胚群$\textrm{Homeo}(K)$的稠密子群。证明了$\textrm{Aut}(\mathbb{K})$和$\textrm{Homeo}(K)$在可数个生成元上都有与自由阿尔贝群的泛极小流同胚的泛极小流.计算涉及证明这两个群体包含一个开放的，正规子群这是非常顺从。
英文摘要：
We define a projective Fraissé family whose limit approximates the universal Knaster continuum. The family is such that the group $\textrm{Aut}(\mathbb{K})$ of automorphisms of the Fraissé limit is a dense subgroup of the group, $\textrm{Homeo}(K)$, of homeomorphisms of the universal Knaster continuum. We prove that both $\textrm{Aut}(\mathbb{K})$ and $\textrm{Homeo}(K)$ have universal minimal flow homeomorphic to the universal minimal flow of the free abelian group on countably many generators. The computation involves proving that both groups contain an open, normal subgroup which is extremely amenable.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
