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Continua having distal minimal actions by amenable groups

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 نشر من قبل Enhui Shi
 تاريخ النشر 2020
  مجال البحث
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 تأليف Enhui Shi




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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.



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