Abstract
Abstract
In this paper we build an Asperó–Mota iteration of length
$\omega _2$
that adds a family of
$\aleph _2$
many club subsets of
$\omega _1$
which cannot be diagonalized while preserving
$\aleph _2$
. This result discloses a technical limitation of some types of Asperó–Mota iterations.
Publisher
Cambridge University Press (CUP)
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