تقرير
Separating topological recurrence from measurable recurrence: exposition and extension of Kriz's example
| العنوان: | Separating topological recurrence from measurable recurrence: exposition and extension of Kriz's example |
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| المؤلفون: | Griesmer, John T. |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Dynamical Systems, Mathematics - Combinatorics, 11B30 |
| الوصف: | We prove that for every infinite set $E\subset \mathbb Z$, there is a set $S\subset E-E$ which is a set of topological recurrence and not a set of measurable recurrence. This extends a result of Igor Kriz, proving that there is a set of topological recurrence which is not a set of measurable recurrence. Our construction follows Kriz's closely, and this paper can be considered an exposition of the original argument. Comment: 21 Pages; v.3 incorporates referee suggestions |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2108.01642 |
| رقم الأكسشن: | edsarx.2108.01642 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |