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Twisted Coefficients on coarse Spaces and their Corona

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 نشر من قبل Elisa Hartmann
 تاريخ النشر 2019
  مجال البحث
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 تأليف Elisa Hartmann




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To a metric space $X$ we associate a compact topological space $ u X$ called the corona of $X$. Then a coarse map $f:Xto Y$ between metric spaces is mapped to a continuous map $ u f: u Xto u Y$ between coronas. Sheaf cohomology on coarse spaces has been introduced in arXiv:1710.06725. We show the functor $ u$ preserves and reflects sheaf cohomology.

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