Abstract
Abstract
We prove several consistency results concerning the notion of
$\omega $
-strongly measurable cardinal in
$\operatorname {\mathrm {HOD}}$
. In particular, we show that is it consistent, relative to a large cardinal hypothesis weaker than
$o(\kappa ) = \kappa $
, that every successor of a regular cardinal is
$\omega $
-strongly measurable in
$\operatorname {\mathrm {HOD}}$
.
Publisher
Cambridge University Press (CUP)
Subject
Computational Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Mathematical Physics,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science,Analysis
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