Rothberger gaps in fragmented ideals

Jörg Brendle, Diego A. Mejía

The~\emph{Rothberger number} $\mathfrak{b}(\mathcal{I})$ of a definable ideal $\mathcal{I}$ on $\omega$ is the least cardinal $\kappa$ such that there exists a Rothberger gap of type $(ω,κ)…