Embeddings of $P(\omega )/\mathrm{Fin}$ into Borel Equivalence Relations between ${\ell }_p$ and ${\ell }_q$

Zhi Yin

We prove that, for $1\le p<q<\infty$, the partially ordered set $P(\omega )/\mathrm{Fin}$ can be embedded into Borel equivalence relations between ${\mathbb{R}}^{\omega }/{\ell }_p$ and $\mathbb{R}^ω/\…