تقرير
Autohomeomorphisms of pre-images of $\mathbb N^*$
| العنوان: | Autohomeomorphisms of pre-images of $\mathbb N^*$ |
|---|---|
| المؤلفون: | Dow, Alan |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - General Topology, 54A35 |
| الوصف: | In the study of the Stone-\u{C}ech remainder of the real line a detailed study of the Stone-\u{C}ech remainder of the space $\mathbb N\times [0,1]$, which we denote as $\mathbb M$, has often been utilized. Of course the real line can be covered by two closed sets that are each homeomorphic to $\mathbb M$. It is known that an autohomeomorphism of $\mathbb M^*$ induces an autohomeomorphism of $\mathbb N^*$. We prove that it is consistent with there being non-trivial autohomeomorphism of $\mathbb N^*$ that those induced by autohomeomorphisms of $\mathbb M^*$ are trivial. Comment: 14 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.09319 |
| رقم الأكسشن: | edsarx.2406.09319 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |