Browsing by Subject "asymptotic dimension"

Now showing items 1-2 of 2

    • Property A as metric amenability and its applications to geometry 
      Nowak, Piotr Wojciech (2008-04-25)
      Department: Mathematics
      Property A was introduced by Guoliang Yu as a metric version of a well-known group invariant, amenability. The new notion turned out to be extremely useful in several areas of mathematics. We prove an averaging theorem for ...
    • Small cancellation and the Assouad-Nagata dimension of finitely generated groups 
      Sledd, Levi; 0000-0002-0937-4071 (2022-01-06)
      Department: Mathematics
      We prove that the Assouad-Nagata dimension of any finitely generated (but not necessarily finitely presented) $C'(\sfrac{1}{6})$ group is at most 2. Using this result along with techniques of classical small cancellation ...