# Miguel Angel Mota: Measuring together with the continuum large

Place: TBD

Date: July 15th , 2016 (13:30-15:00)

Speaker: Miguel Angel Mota

Title: Measuring together with the continuum large

Abstract:  Measuring, as defined by Justin Moore, says that for every sequence $(C(\delta))_{\delta<\omega_1}$ with each $C(\delta)$ being a closed subset of $\delta$ there is a club $C\subseteq\omega_1$ such that for every $\delta \in C$, a tail of $C\cap\delta$ is either contained in or disjoint from $C(\delta)$. We answer a question of Justin Moore by building a forcing extension satisfying measuring together with $2^{\aleph_0}>\aleph_2$.