Author

Eyal Kaplan

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Preprint Sep 2026

Preserving the Ultrapower Axiom by Forcing over Nonoverlapping Extender Models

We identify a class of simple yet nontrivial forcing notions that preserve the Ultrapower Axiom (UA) over canonical inner models, reaching the level of a strong cardinal. The forcings we consider are discrete product forcings whose index sets are chosen and spaced according to the structure of the underlying nonoverlap...

Eyal Kaplan · 0 citations

Preprint Oct 2026

Bounds for (k,c) model functions over p-adic fields

Let $F$ be a $p$-adic field, let $k,c\ge1$, and let $\rho$ be a $(k,c)$ representation of $\mathrm{GL}_{kc}(F)$: a complex representation of finite length whose wave front set has $(k^c)$ as its unique maximal orbit, and which admits a $(k,c)$ functional that is unique up to scaling. We prove that the functions in the...

Eyal Kaplan · 0 citations