4 problems

Let $\mathcal{I}$ be an analytic ideal on $\mathbb{N}$, and let $\mathcal{R}$ be the ideal generated by the cliques and independent sets of the random graph. An ideal is tall if ev…

Let $d4a1$ be the random ideal, generated by the cliques and independent sets of the random graph. For ideals $d4a0$ and $d4a1$ on $d53d$, write $d4a0\leq_Kd4a1$ when $d4a0$ is Kat…

Modified limit-ordinal conjecture. For every ideal $\mathcal{I}$, the following conditions are equivalent:

Let $\mathcal{I}$ be a Borel ideal, and let $\mathrm{conv}$ be the ideal on $[0,1]\cap\mathbb{Q}$ generated by all convergent sequences. For ideals $\mathcal{I}$ and $\mathcal{J}$,…