Coordinatization in superstable theories. II
نویسندگان
چکیده
منابع مشابه
Rigid א 2 - saturated models of superstable theories ∗
In a countable superstable NDOP theory, the existence of a rigid א2-saturated model implies the existence of 2 λ rigid א2-saturated models of power λ for every λ > 2א0 .
متن کاملVaught's conjecture for superstable theories of finite rank
In [Vau61] Vaught conjectured that a countable first order theory has countably many or 2א0 many countable models. Here, the following special case is proved. Theorem. If T is a superstable theory of finite rank with < 2א0 many countable models, then T has countably many countable models. The basic idea is to associate with a theory a ∧ − definable group G (called the structure group) which con...
متن کاملVaught's conjecture for superstable theories of nite rank
In this paper we prove Vaught's conjecture for superstable theories in which each complete type has nite U? rank. The general idea is to associate with the theory an V ? deenable group G (called the structure group) which controls the isomorphism types of the models. We use module theory to show that when the theory has few countable models and M is a countable model there is a nice decompositi...
متن کاملHomological Coordinatization
In this paper, we review a method for computing and parameterizing the set of homotopy classes of chain maps between two chain complexes. This is then applied to finding topologically meaningful maps between simplicial complexes, which in the context of topological data analysis, can be viewed as an extension of conventional unsupervised learning methods to simplicial complexes.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1988
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1988-0936825-2