During the talk I will present a construction in ZFC of a compactification of \(\omega\) such that its remainder is not separable and carries a strictly positive measure, i.e. measure positive on nonempty open subsets. The measure is defined using the asymptotic density of subsets of \(\omega\). The remainder is a Stone space of some Boolean subalgebra of Borel subsets of the Cantor space containing all clopen sets, constructed with an aid of an uncountable almost disjoint family of subsets of \(\omega\). This is a joint work with Piotr Borodulin-Nadzieja.
Nonseparable growth of ω supporting a strictly positive measure
25.04.2023 15:00 - 16:30
Organiser:
KGRC
Location: