Aug 2, 2023 · Suppose N has an unconstrained limit type p ∈ Sat(N) and fix a scale f. Also choose a filtration (Mα : α ∈ ω1) of N. To construct an uncountable ...

Aug 27, 2023 · Our principal result is. Theorem 1.1. If an atomic class At is ℵ1-categorical and has a model of size. (2ℵ0 )+, then At is ω-stable.

An Application of Rank‐Forcing to ω 1 ‐Categoricity.H. Peter Tuschik - 1980 - Mathematical Logic Quarterly 26 (14-18):237-250. An Application of Rank ...

We use iterated forcing with countable support to construct the desired model of. ZFC. We first review the argument that MAℵ1 yields ℵ1-categoricity. Given ...

Mar 23, 2014 · Scott ranks. The Scott rank measures the complexity of a structure in terms of the complexity of the automorphism orbits of its tuples.

An Application of Rank‐Forcing to ω 1 ‐Categoricity.H. Peter Tuschik - 1980 - Mathematical Logic Quarterly 26 (14-18):237-250. Etude D'Un Forcing en Théorie ...

An Application of Rank‐Forcing to ω1‐Categoricity. Authors. H. Peter Tuschik. Source Information. January 1980, Volume26(Issue14-18)Pages, p.237To - 250 ...

Jul 8, 2008 · Abstract. We prove Los conjecture = Morley theorem in ZF, with the same char- acterization (of first order countable theories categorical in ...

Abstract. We use iterations of elementary embeddings derived from countably complete ideals on ω1 to provide a uniform proof of some classical results.

Apr 7, 2010 · A theory is categorical in some (hence, by Morley's theorem, all) uncountable cardinality just in case every model is prime and minimal over a strongly minimal ...