تقرير
Trivial Isomorphisms between Reduced Products
| العنوان: | Trivial Isomorphisms between Reduced Products |
|---|---|
| المؤلفون: | De Bondt, Ben, Farah, Ilijas, Vignati, Alessandro |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Logic, 03E50, 03E35, 03E75 |
| الوصف: | We introduce a general method for showing under weak forcing axioms that reduced products of countable models of a theory $T$ have as few automorphisms as possible. We show that such forcing axioms imply that reduced products of countably infinite or finite fields, linear orders, trees, or random graphs have only trivial automorphisms. We also show that Todor\v{c}evi\'c's Open Colouring Axiom, $\mathsf{OCA}_{\mathrm{T}}$, implies that all automorphisms of $\mathcal{P}(\mathbb{N})/{\mathrm{Fin}}$ are trivial. Comment: Proposition 4.3 adjusted |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2307.06731 |
| رقم الأكسشن: | edsarx.2307.06731 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |