Hod Mice And The Mouse Set Conjecture (memoirs Of The American Mathematical Society)
by Grigor Sargsyan /
2015 / English / PDF
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The author develops the theory of Hod mice below $AD_{\mathbb{R}}+$
"$\Theta$ is regular". He uses this theory to show that HOD of the
minimal model of $AD_{\mathbb{R}}+$ "$\Theta$ is regular" satisfies
$GCH$. Moreover, he shows that the Mouse Set Conjecture is true in
the minimal model of $AD_{\mathbb{R}}+$ "$\Theta$ is regular".
The author develops the theory of Hod mice below $AD_{\mathbb{R}}+$
"$\Theta$ is regular". He uses this theory to show that HOD of the
minimal model of $AD_{\mathbb{R}}+$ "$\Theta$ is regular" satisfies
$GCH$. Moreover, he shows that the Mouse Set Conjecture is true in
the minimal model of $AD_{\mathbb{R}}+$ "$\Theta$ is regular".