A topological space \(X\) is Menger if for every sequence of open covers \(O_1, O_2,\) \(\dots\) there are finite subfamilies \(F_1\) of \(O_1\), \(F_2\) of \(O_2,\) \(\dots\) such that their union is a cover of \(X\). The above property generalizes \(\sigma\)-compactness. We provide examples of Menger subsets of the real line whose product is not Menger under various set theoretic hypotheses, some being weak portions of the Continuum Hypothesis, and some violating it. The proof method is new.
Products of Menger s
20.10.2016 15:00 - 16:30
Organiser:
KGRC
Location:
SR 101, 2. St., Währinger Str. 25