A consistency theorem for cardinal sequences of length $<{\omega }_3$

Juan Carlos Martínez, Lajos Soukup

We prove that if $\lambda$ is a fixed uncountable cardinal and $f = \langle \ka_{\al} : \al < δ\rangle$ is a sequence of infinite cardinals where $\delta <{\omega }_3$ and $\ka_{\al}\in \{\om,λ\}$ fo…