On convergence in the subpower Higson corona of metric spaces

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-Čech corona.

arXiv commentThere was an error in the proof of Theorem1 in the previous version