论文标题
邀请延长统治
An invitation to extension domination
论文作者
论文摘要
由类型的统治理论的启发，我们引入了一个称为扩展统治的Keisler措施的统治概念。我们认为，这种统治变体的行为与其类型设置对应相似。我们证明，扩展主导地位扩展了类型的支配，并且它在全球Keisler度量的空间上形成了预订。然后，我们探讨了与此概念相关的一些基本属性（例如，公式近似，在本地化，凸组合下闭合）。我们还证明了一些保存定理，并提供了一些明确的例子。
Motivated by the theory of domination for types, we introduce a notion of domination for Keisler measures called extension domination. We argue that this variant of domination behaves similarly to its type setting counterpart. We prove that extension domination extends domination for types and that it forms a preorder on the space of global Keisler measures. We then explore some basic properties related to this notion (e.g. approximations by formulas, closure under localizations, convex combinations). We also prove a few preservation theorems and provide some explicit examples.
