On convergence in the subpower Higson corona of metric spaces
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🧮 math.GN
math.MG
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coronahigsonmetricsubpowerproperspaceciteclosure
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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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