Full normalization for $\kappa^+$-supercompactness

Farmer Schlutzenberg

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arXiv · 2506.08287

Full normalization for $\kappa^+$-supercompactness

Farmer Schlutzenberg

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Abstract

We extend the normalization results of the author's paper "Full normalization for transfinite stacks" [5] to mice at the level of $\kappa^+$-supercompactness: given a normal iteration strategy $\Sigma$ for such a mouse $M$, with both $M$ and $\Sigma$ satisfying certain condensation properties, we extend $\Sigma$ to a strategy $\Sigma^*$ for stacks of normal trees, such that every iterate via $\Sigma^*$ is in fact a normal iterate via $\Sigma$.

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Farmer Schlutzenberg. 2025-06-09. Full normalization for $\kappa^+$-supercompactness. https://arxiv.org/abs/2506.08287

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