论文标题
其理论的球形订单，属性和可计数的光谱
Spherical orders, properties and countable spectra of their theories
论文作者
论文摘要
我们研究球形秩序及其基本理论的语义和句法特性，包括有限和密集的秩序及其理论。结果表明，密集的$ n $ spherical订单的理论是分类和可决定的。描述了$ n $ spherical理论的一元扩展模型的光谱值。确认了vaught的猜想，以确认可计数的密集$ n $ spherical理论的恒定扩展。
We study semantic and syntactic properties of spherical orders and their elementary theories, including finite and dense orders and their theories. It is shown that theories of dense $n$-spherical orders are countably categorical and decidable. The values for spectra of countable models of unary expansions of $n$-spherical theories are described. The Vaught conjecture is confirmed for countable constant expansions of dense $n$-spherical theories.
