تقرير
Closed copies of $\mathbb{N}$ in $\mathbb{R}^{\omega_1}$
| العنوان: | Closed copies of $\mathbb{N}$ in $\mathbb{R}^{\omega_1}$ |
|---|---|
| المؤلفون: | Dow, Alan, Hart, Klaas Pieter, van Mill, Jan, Vermeer, Hans |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - General Topology, Mathematics - Logic, Primary 54C45, Secondary: 03E17, 03E50, 03E55, 54D35, 54D40, 54D60, 54G20 |
| الوصف: | We investigate closed copies of~$\mathbb{N}$ in powers of~$\mathbb{R}$ with respect to $C^*$- and $C$-embedding. We show that $\mathbb{R}^{\omega_1}$ contains closed copies of~$\mathbb{N}$ that are not $C^*$-embedded. Comment: Version 2: some corrections and reformulations Version 3: references to older results plus an example of a nonC*-embedded copy consistent with not-CH |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2307.07223 |
| رقم الأكسشن: | edsarx.2307.07223 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |