Topologically invariant $\sigma$-ideals on the Hilbert cube
Geometric Topology
2016-02-23 v3 General Topology
Logic
Abstract
We study and classify topologically invariant -ideals with a Borel base on the Hilbert cube and evaluate their cardinal characteristics. One of the results of this paper solves (positively) a known problem whether the minimal cardinalities of the families of Cantor sets covering the unit interval and the Hilbert cube are the same.
Cite
@article{arxiv.1302.5658,
title = {Topologically invariant $\sigma$-ideals on the Hilbert cube},
author = {Taras Banakh and Michal Morayne and Robert Ralowski and Szymon Zeberski},
journal= {arXiv preprint arXiv:1302.5658},
year = {2016}
}
Comments
14 pages