arXiv subjects

Jacek Kucab

Publications and source records attributed to Jacek Kucab.

2 recordsLinked to original sources

arXiv2017

On convergence in the subpower Higson corona of metric spaces

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 $σ$-compact subset of the subpower Higson corona of a proper unbounded metric space does not necessarily coincide with its Stone-Čech corona.

math.GN↗

arXiv2015

Remarks on asymptotic power dimension

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 corona.

math.GN↗