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arXiv · 1701.00721

On convergence in the subpower Higson corona of metric spaces

Jacek Kucab·Mykhailo Zarichnyi
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Abstract

The subpower Higson corona of a proper metric space is defined in \cite{KZ}. We prove that, unlikely to the Higson corona, the closure of a $\sigma$-compact subset of the subpower Higson corona of a proper unbounded metric space does not necessarily coincide with its Stone-\v{C}ech corona.

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Jacek Kucab, Mykhailo Zarichnyi. 2017-01-03. On convergence in the subpower Higson corona of metric spaces. https://arxiv.org/abs/1701.00721

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