We show that various tameness assertions about abstract elementary classes imply the existence of large cardinals under mild cardinal arithmetic assumptions. For instance, we show: Theorem. Let κ be uncountable such that μω < κ for every μ < κ. If every AEC with Löwenheim-Skolem number less than κ is < κ-tame, then κ is almost strongly compact. This is done by isolating a class of AECs that exh...

The reduction of Triphos [PhP(CH(2)CH(2)PPh(2))(2)] iron halide complexes has been explored, yielding formally zerovalent (κ(3)-Triphos)Fe(κ(2)-Triphos) and (κ(3)-Triphos)Fe(κ(2)-Bpy). Electrochemical analysis, coupled with the metrical parameters of (κ(3)-Triphos)Fe(κ(2)-Bpy), reveal an electronic structure consistent with a π-radical monoanion bipyridine chelate that is antiferromagnetically ...

We prove that the outer boundary of the final hull of some chordal SLE(κ; ~ ρ) process has the same distribution as the image of some chordal SLE(κ; ~ ρ′) trace, where κ > 4 and κ = 16/κ; and the reversal of some SLE(4; ~ ρ) trace has the same distribution as the time-change of some SLE(4; ~ ρ′) trace. And we also study some geometric properties of some chordal SLE(κ; ~ ρ) traces.

Let κ be an uncountable regular cardinal. Call an equivalence relation on functions from κ into 2 second order definable over H(κ) if there exists a second order sentence φ and a parameter P ⊆ H(κ) such that functions f and g from κ into 2 are equivalent iff the structure 〈H(κ),∈, P, f, g〉 satisfies φ. The possible numbers of equivalence classes of second order definable equivalence relations c...

Let κ be an uncountable regular cardinal. Call an equivalence relation on functions from κ into 2 Σ11-definable over H(κ) if there is a first order sentence φ and a parameter R ⊆ H(κ) such that functions f, g ∈ κ2 are equivalent iff for some h ∈ κ2, the structure 〈H(κ),∈, R, f, g, h〉 satisfies φ, where ∈, R, f , g, and h are interpretations of the symbols appearing in φ. All the values μ, 1 ≤ μ...

Resumo Objetivo Traduzir e adaptar transculturalmente a escala espanhola de Avaliação Sociofamiliar em Idosos (Escala Gijón) para o contexto brasileiro. Métodos Procedimento metodológico adequação transcultural, com tradução (espanhol-português), retrotradução (português-espanhol), avaliação equivalências semântica, idiomática, experimental conceitual, pré-teste da versão brasileira uma amostra...

We show that if Part(κ, λ) holds for every λ ≥ κ, then κ is strongly compact. Let κ be a regular infinite cardinal, and let λ ≥ κ be a cardinal. Pκ(λ) denotes the set of all subsets of λ of size less than κ. Part(κ, λ) means that for every F : Pκ(λ) × Pκ(λ) → 2, there is a cofinal subset A of (Pκ(λ),⊆) such that F is constant on the set {(a, b) ∈ A × A : a ⊂ b}. This definition is due to Jech [...

BACKGROUND AND PURPOSE CTP may help triage acute stroke patients for IAT, but requires additional contrast agent, radiation, and imaging time. Our aim was to determine whether clinical examination (NIHSS) with NCCT and CTA can substitute for CTP without significantly affecting IAT triage of patients with acute MCA stroke. MATERIALS AND METHODS We reviewed NCCT, CTA, and CTP imaging performed ...

For a cardinal κ and a model M of cardinality κ let No(M) denote the number of non-isomorphic models of cardinality κ which are L∞κ-equivalent to M. In [She82] Shelah established that when κ is a weakly compact cardinal and μ ≤ κ is a nonzero cardinal, there exists a model M of cardinality κ with No(M) = μ. We prove here that if κ is a weakly compact cardinal, the question of the possible value...

Given a cardinal κ ≤ c, a subset of the plane is said to be a κ-point set if and only it it meets every line in precisely κ many points. In response to a question of Cobb, we show that for all 2 ≤ κ, λ < c there exists a κ-point set which is homeomorphic to a λ-point set, and further, we also show that it is consistent with ZFC that for all 2 ≤ κ < c, there exists a κ-point set X such that for ...