By Shimon Garti and Andrés Villaveces

Let *\mu* be a strong limit singular cardinal. We prove that if *2^{\mu} > \mu^+* then *\binom{\mu^+}{\mu}\to \binom{\tau}{\mu}_{<{\rm cf}(\mu)}* for every ordinal *\tau<\mu^+*. We obtain an optimal positive relation under *2^\mu = \mu^+*, as after collapsing *2^\mu* to *\mu^+* this positive relation is preserved.

October 12, 2023

Loading full text...

Similar articles

Loading recommendations...

x1

An almost strong relation

Click on play to start listening