تقرير
On $\omega$-strongly measurable cardinals in $\mathbb{P}_{\max}$ extensions
| العنوان: | On $\omega$-strongly measurable cardinals in $\mathbb{P}_{\max}$ extensions |
|---|---|
| المؤلفون: | Aksornthong, Navin, Gappo, Takehiko, Holland, James, Sargsyan, Grigor |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Logic |
| الوصف: | We show that in the $\mathbb{P}_{\max}$ extension of a certain Chang-type model of determinacy, if $\kappa\in\{\omega_1, \omega_2, \omega_3\}$, then the restriction of the club filter on $\kappa\cap\mathrm{Cof}(\omega)$ to HOD is an ultrafilter in HOD. This answers Question 4.11 of [BNH23] raised by Ben-Neria and Hayut. Comment: 22 pages. arXiv admin note: text overlap with arXiv:2307.08607 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2307.13682 |
| رقم الأكسشن: | edsarx.2307.13682 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |