On a question of Dikranjan and Zava

Igor Protasov

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arXiv · 1912.04731

On a question of Dikranjan and Zava

Igor Protasov

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Abstract

Let $G$ be a non-discrete countable metrizable abelian topological group endowed with the coarse structure $ \mathcal{C} $ generated by compact subsets of $G$. We prove that $asdim (G, \mathcal{C} ) = \infty$. For an infinite cyclic subgroup $G$ of the circle, this answers a question of Dikranjan and Zava [3].

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Igor Protasov. 2019-12-07. On a question of Dikranjan and Zava. https://arxiv.org/abs/1912.04731

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