A generalization of Bang's lemma
We prove a common extension of Bang’s and Kadets’ lemmas for contact pairs, in the spirit of the Colourful Carathéodory 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. F...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2023
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| Sorozat: | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
151 No. 3 |
| Tárgyszavak: | |
| doi: | 10.1090/proc/16228 |
| mtmt: | 32617382 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/29683 |
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| 024 | 7 | |a 10.1090/proc/16228 |2 doi | |
| 024 | 7 | |a 32617382 |2 mtmt | |
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| 041 | |a eng | ||
| 100 | 1 | |a Ambrus Gergely | |
| 245 | 1 | 2 | |a A generalization of Bang's lemma |h [elektronikus dokumentum] / |c Ambrus Gergely |
| 260 | |c 2023 | ||
| 300 | |a 1277-1284 | ||
| 490 | 0 | |a PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY |v 151 No. 3 | |
| 520 | 3 | |a We prove a common extension of Bang’s and Kadets’ lemmas for contact pairs, in the spirit of the Colourful Carathéodory 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. | |
| 650 | 4 | |a Matematika | |
| 856 | 4 | 0 | |u http://publicatio.bibl.u-szeged.hu/29683/1/generalplank_final.pdf |z Dokumentum-elérés |