Topologically invariant $\sigma$-ideals on the Hilbert cube

Taras Banakh; Michal Morayne; Robert Ralowski; Szymon Zeberski

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arXiv · 1302.5658

Topologically invariant $\sigma$-ideals on the Hilbert cube

Taras Banakh·Michal Morayne·Robert Ralowski·Szymon Zeberski

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Abstract

We study and classify topologically invariant $\sigma$-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.

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BibTeX RIS

Taras Banakh, Michal Morayne, Robert Ralowski, Szymon Zeberski. 2013-02-22. Topologically invariant $\sigma$-ideals on the Hilbert cube. https://arxiv.org/abs/1302.5658

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