论文标题
关于独立订单的数量
On the number of independent orders
论文作者
论文摘要
我们研究了一个模型理论不变$κ_{srd}^m（t）$，该$是由Shelah在其著名的书中介绍的，并证明$κ_{srd}^m（t）$是亚addive的。 当$κ_{srd}^m（t）$是无限的时，这给出了等价$κ^m_ {srd}（t）=κ^1_^1_ {srd}（t）$，回答Shelah的问题。我们应用相同的证明方法来分析另一个不变的$κ^m_ {ird}（t）$，并表明它也是亚addive的，从而改善了书中的结果。
We investigate a model theoretic invariant $κ_{srd}^m(T)$, which was introduced by Shelah in his famous book, and prove that $κ_{srd}^m(T)$ is sub-additive. When $κ_{srd}^m(T)$ is infinite, this gives the equality $κ^m_{srd}(T)=κ^1_{srd}(T)$, answering a question by Shelah. We apply the same proof method to analyze another invariant $κ^m_{ird}(T)$, and show that it is also sub-additive, improving a result in the book.
