En el presente trabajo estudiamos el concepto de Q-clase elemental abstracta y hacemos una aproximación a la superestabilidad en este contexto adaptando el teorema de Shelah-Villaveces (teorema 2.1 en [SV99]). Con ayuda de este teorema y basándonos en lo expuesto por Baldwin en el capítulo 15 de [Bal09], estudiamos la saturación de la unión de cadenas de modelos saturados como una noción débil de superestabilidad.In the present work we study the concept of Q-abstract elementary class and we do an approximation to superestability in this context, adapting Shelah-Villaveces theorem. With the help of this theorem and based on chapter 15 of [Bal09], we studied the saturation of the union of chains of saturated as a weak notion of superstability...
AbstractAssume Q is a definable subset of a model of T. We define a notion of Q-isolated type, gener...
AbstractIn [NR] the authors introduced the notion of superstable operators on a Banach space E using...
Abstract. This paper contributes to the set-theoretic side of understanding Keisler’s order. We cons...
We prove that several definitions of superstability in abstract elementary classes (AECs) are equiva...
Abstract. We prove that several definitions of superstability in abstract elementary classes (AECs) ...
En esta tesis estudiamos la unicidad de modelos límite como una noción débil de superestabilidad en...
AbstractWe investigate in detail stable formulas, ranks of types and their definability, the f.c.p.,...
This paper is devoted to the problem of existence of saturated models for first-order many-valued lo...
We say G is (Qn, Qm)-saturated if it is a maximal Qm-free subgraph of the n-dimensional hypercube Qn...
This paper is devoted to the problem of existence of saturated models for first-order many-valued lo...
Our aim was to generalize some theorems about the saturation of ultra-powers to reduced powers. Natu...
12 pages. Extended abstract accepted for FPSAC 2022; will eventually be replaced by a full-length pa...
In [3] , we defined quantum 2-tori T_{q}^{2} for q not a root of unity, and showed its first-order t...
AbstractA first order theory T of power λ is called unidimensional if any twoλ+-saturated models of ...
We obtain an equiconsistency for a weak form of universal indestructibility for strongness. The equi...
AbstractAssume Q is a definable subset of a model of T. We define a notion of Q-isolated type, gener...
AbstractIn [NR] the authors introduced the notion of superstable operators on a Banach space E using...
Abstract. This paper contributes to the set-theoretic side of understanding Keisler’s order. We cons...
We prove that several definitions of superstability in abstract elementary classes (AECs) are equiva...
Abstract. We prove that several definitions of superstability in abstract elementary classes (AECs) ...
En esta tesis estudiamos la unicidad de modelos límite como una noción débil de superestabilidad en...
AbstractWe investigate in detail stable formulas, ranks of types and their definability, the f.c.p.,...
This paper is devoted to the problem of existence of saturated models for first-order many-valued lo...
We say G is (Qn, Qm)-saturated if it is a maximal Qm-free subgraph of the n-dimensional hypercube Qn...
This paper is devoted to the problem of existence of saturated models for first-order many-valued lo...
Our aim was to generalize some theorems about the saturation of ultra-powers to reduced powers. Natu...
12 pages. Extended abstract accepted for FPSAC 2022; will eventually be replaced by a full-length pa...
In [3] , we defined quantum 2-tori T_{q}^{2} for q not a root of unity, and showed its first-order t...
AbstractA first order theory T of power λ is called unidimensional if any twoλ+-saturated models of ...
We obtain an equiconsistency for a weak form of universal indestructibility for strongness. The equi...
AbstractAssume Q is a definable subset of a model of T. We define a notion of Q-isolated type, gener...
AbstractIn [NR] the authors introduced the notion of superstable operators on a Banach space E using...
Abstract. This paper contributes to the set-theoretic side of understanding Keisler’s order. We cons...