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

Michal Morayne; Robert Ralowski; Szymon Zeberski; Taras Banakh

arxiv: 1302.5658 · v3 · pith:HQGERIXXnew · submitted 2013-02-22 · 🧮 math.GT · math.GN· math.LO

Topologically invariant σ-ideals on the Hilbert cube

Taras Banakh , Michal Morayne , Robert Ralowski , Szymon Zeberski This is my paper

classification 🧮 math.GT math.GNmath.LO

keywords cubehilbertidealsinvariantsigmatopologicallybaseborel

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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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Topologically invariant σ-ideals on the Hilbert cube

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