Indicators, Chains, Antichains, Ramsey Property

Canadian mathematical bulletin

Miodrag Sokić¹ 

[1] Mathematics Department, California Institute of Technology, Pasadena, California 91125

关键词: Ramsey property;    linear orderings;   

DOI  :  10.4153/CMB-2013-028-0

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We introduce two Ramsey classes of finite relational structures. The firstclass contains finite structures of the form $(A,(I_{i})_{i=1}^{n},leq,(preceq _{i})_{i=1}^{n})$ where $leq $ is a total ordering on $A$ and $%preceq _{i}$ is a linear ordering on the set ${ain A:I_{i}(a)}$. Thesecond class contains structures of the form $(A,leq,(I_{i})_{i=1}^{n},preceq )$ where $(A,leq )$ is a weak ordering and $%preceq $ is a linear ordering on $A$ such that $A$ is partitioned by $%{ain A:I_{i}(a)}$ into maximal chains in the partial ordering $leq $ andeach ${ain A:I_{i}(a)}$ is an interval with respect to $preceq $.

【 授权许可】

Unknown