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Session 32. Set Theory
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Density zero subsets of the Baire space. |
Janusz Pawlikowski, University of Wrocław, Poland
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A density zero slalom is a sequence \(\langle S_n\rangle_{n\in\omega}\) of density zero subsets of \(\omega\).
A set \(X\subseteq \omega^\omega\) has density zero if there is a density zero slalom \(\langle S_n\rangle_{n\in\omega}\)
such that for each \(\langle x_n\rangle_{n\in\omega}\in X\) for all but finitely many \(n\in\omega\) we have \(x_{n}\in S_{n}\).
I will discuss properties of the \(\sigma\)-ideal generated by such sets.
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