A consistency theorem for cardinal sequences of length $<\ddot{I}{‰}_3$

Juan Carlos Martínez, Lajos Soukup

We prove that if $\hat{I}»$ is a fixed uncountable cardinal and $f = \langle \ka_{\al} : \al < δ\rangle$ is a sequence of infinite cardinals where $\hat{I}´<\ddot{I}{‰}_3$ and $\ka_{\al}\in \{\om,λ\…