On the convex components of a set in ℝ n
| Autor: | Giorgio Stefani, Flavia Giannetti |
|---|---|
| Přispěvatelé: | Giannetti, F., Stefani, G. |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Forum Mathematicum. 35:187-199 |
| ISSN: | 1435-5337 0933-7741 |
| DOI: | 10.1515/forum-2022-0203 |
| Popis: | We prove a lower bound on the number of the convex components of a compact set with non-empty interior in ℝ n {\mathbb{R}^{n}} for all n ≥ 2 {n\geq 2} . Our result generalizes and improves the inequalities previously obtained in [M. Carozza, F. Giannetti, F. Leonetti and A. Passarelli di Napoli, Convex components, Commun. Contemp. Math. 21 2019, 6, Article ID 1850036] and [M. La Civita and F. Leonetti, Convex components of a set and the measure of its boundary, Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia 56 2008/09, 71–78]. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|