Report
A generalization of Bang's lemma
| العنوان: | A generalization of Bang's lemma |
|---|---|
| المؤلفون: | Ambrus, Gergely |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Metric Geometry, Mathematics - Functional Analysis |
| الوصف: | We prove a common extension of Bang's and Kadets' lemmas for contact pairs, in the spirit of the Colourful Carath\'eodory Theorem. We also formulate a generalized version of the affine plank problem and prove it under special assumptions. In particular, we obtain a generalization of Kadets' theorem. Finally, we give applications to problems regarding translative and homothetic coverings. Comment: 7 pages, 1 figure. An extension of V. Soltan's conjecture by G. Fejes Toth is added, minor typos corrected |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2201.08823 |
| رقم الانضمام: | edsarx.2201.08823 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |