论文标题
Bang的引理的概括
A generalization of Bang's lemma
论文作者
论文摘要
我们证明，本着五颜六色的Carathéodory定理的精神，Bang's和Kadets的诱饵是接触对的常见延伸。我们还制定了Aggine Plank问题的广义版本，并在特殊假设下证明了这一点。特别是，我们获得了Kadets定理的概括。最后，我们将有关翻译和同质覆盖的问题申请。
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.
