Following the recent introduction of functorial coarse structures on groups, we consider functorial coarse structures on topological groups. In particular, we focus on the compact-group coarse structure and we study the impact of Pontryagin and Bohr functor in small-scale and large-scale properties of locally compact abelian groups. We provide results concerning both the covering dimension and the asymptotic dimension.
The impact of Pontryagin and Bohr functors on large-scale properties of locally compact abelian groups
Dikranjan D.;Zava N.
2020-01-01
Abstract
Following the recent introduction of functorial coarse structures on groups, we consider functorial coarse structures on topological groups. In particular, we focus on the compact-group coarse structure and we study the impact of Pontryagin and Bohr functor in small-scale and large-scale properties of locally compact abelian groups. We provide results concerning both the covering dimension and the asymptotic dimension.File in questo prodotto:
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