Published online by Cambridge University Press: 20 November 2018
We prove in
$\text{ZFC}$
that if
$\text{cf}\left( \text{ }\lambda \text{ } \right)>{{\aleph }_{0}}$
and
${{2}^{\text{cf}\left( \text{ }\!\!\lambda\!\!\text{ } \right)}}\,<\,\text{ }\!\!\lambda\!\!\text{ }$
, then
$\text{ }\!\!\lambda\!\!\text{ }\,\to \,{{\left( \text{ }\!\!\lambda\!\!\text{ ,}\,\omega \,\text{+}\,\text{1} \right)}^{2}}$
.
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