تقرير
Coset topologies on $\mathbb{Z}$ and arithmetic applications
| العنوان: | Coset topologies on $\mathbb{Z}$ and arithmetic applications |
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| المؤلفون: | Longhi, Ignazio, Mu, Yunzhu, Saettone, Francesco Maria |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory, Mathematics - General Topology |
| الوصف: | We provide a construction which covers as special cases many of the topologies on integers one can find in the literature. Moreover, our analysis of the Golomb and Kirch topologies inserts them in a family of connected, Hausdorff topologies on $\mathbb{Z}$, obtained from closed sets of the profinite completion $\hat{\mathbb{Z}}$. We also discuss various applications to number theory. Comment: Final version; to appear in Expositiones Mathematicae |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.exmath.2022.10.001 |
| الوصول الحر: | http://arxiv.org/abs/2202.13478Test |
| رقم الانضمام: | edsarx.2202.13478 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.exmath.2022.10.001 |
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