English

Full normalization for $\kappa^+$-supercompactness

Logic 2025-06-11 v1

Abstract

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

Cite

@article{arxiv.2506.08287,
  title  = {Full normalization for $\kappa^+$-supercompactness},
  author = {Farmer Schlutzenberg},
  journal= {arXiv preprint arXiv:2506.08287},
  year   = {2025}
}

Comments

24 pages

R2 v1 2026-07-01T03:08:03.388Z