传递集与循环四元数
Transitive Sets and Cyclic Quadrilaterals
摘要：
受欧氏拉姆齐理论中一些问题的启发，本文的目的是证明存在一个不嵌入任何传递集（在任何维上）的循环四边形。我们表明，事实上，这适用于几乎所有的循环quadraternary，我们也给出了明确的例子，这样的循环quadraternary。这些是第一个明确的例子，球面集不嵌入到传递集。
英文摘要：
Motivated by some questions in Euclidean Ramsey theory, our aim in this note is to show that there exists a cyclic quadrilateral that does not embed into any transitive set (in any dimension). We show that in fact this holds for almost all cyclic quadrilaterals, and we also give explicit examples of such cyclic quadrilaterals. These are the first explicit examples of spherical sets that do not embed into transitive sets.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
