2 papers
math.GN2017
On convergence in the subpower Higson corona of metric spaces
Jacek Kucab, Mykhailo Zarichnyi
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 -compact subset of the subpower Higso…
math.GN2015
Remarks on asymptotic power dimension
Jacek Kucab, Michael Zarichnyi
Using a result of Dranishnikov and Smith we prove that, under some conditions, the asymptotic power dimension of a proper metric space coincides with the dimension of its subpower…