A note on the complete characterizations of hyperbolic Coxeter groups with Sierpi\'nski curve boundary and with Menger curve boundary

التفاصيل البيبلوغرافية
العنوان: A note on the complete characterizations of hyperbolic Coxeter groups with Sierpi\'nski curve boundary and with Menger curve boundary
المؤلفون: Danielski, Daniel, Świątkowski, Jacek
سنة النشر: 2021
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Geometric Topology, 20F67 (primary), 20F55, 20F65 (secondary)
الوصف: We give complete characterizations (in terms of nerves) of those word hyperbolic Coxeter groups whose Gromov boundary is homeomorphic to the Sierpi\'nski curve and to the Menger curve, respectively. The justification is mostly an appropriate combination of various results from the literature.
Comment: Added the plan of the paper and made some minor changes
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2110.01922
رقم الأكسشن: edsarx.2110.01922
قاعدة البيانات: arXiv