Asymptotic dimension and small subsets in locally compact topological groups

作者：Banakh Taras^*; Chervak Ostap; Lyaskovska Nadya

来源：Geometriae Dedicata, 2014, 169(1): 383-396.

DOI：10.1007/s10711-013-9862-1

• Asymptotic dimension
• Locally compact group
• Coarse structure
• Small set

We prove that for a coarse space the ideal of small subsets of coincides with the ideal provided that is coarsely equivalent to a Euclidean space . Also we prove that for a locally compact Abelian group , the equality holds if and only if the group is compactly generated.

• 出版日期2014-4