论文标题
连续性具有远端最小的动作
Continua having distal minimal actions by amenable groups
论文作者
论文摘要
令$ x $为非脱位连接的紧凑型公制空间。如果$ x $允许有限生成的Amenable组采取远端最小动作，则使用整数系数的第一个\ VCECH共同体组$ {\ check h}^1（x）$是不平凡的。特别是，如果$ x $在同质上等同于CW复合物，则$ x $不能简单地连接。
Let $X$ be a non-degenerate connected compact metric space. If $X$ admits a distal minimal action by a finitely generated amenable group, then the first \vCech cohomology group $ {\check H}^1(X)$ with integer coefficients is nontrivial. In particular, if $X$ is homotopically equivalent to a CW complex, then $X$ cannot be simply connected.
