Splitting chains, tunnels and twisted sums

Félix Cabello Sánchez, Antonio Avilés, Piotr Borodulin-Nadzieja +2

We study splitting chains in $\mathcal{P}(\omega )$, that is, families of subsets of $\omega$ which are linearly ordered by ${\subseteq }^{\ast }$ and which are splitting. We prove that their existenc…