activity
20112024
most citedAround the set-theoretical consistency of d-tameness of Metric Abstract Elementary Classes

6 citations · 11 across the 11 of their papers we have counts for

collaborators

11 papers

math.LO2024

Kripke-like models of Set Theory in Modal Residuated Logic

Jose Moncayo, Pedro H. Zambrano

We generalize Fitting's work on Intuitionistic Kripke models of Set Theory using Ono and Komori's Residuated Kripke models. Based on these models, we provide a generalization of th…

math.LO2023★ 1 cited

Constructible sets in lattice-valued models: A negative result

Jose Moncayo, Pedro H. Zambrano

We investigate different set-theoretic constructions in Residuated Logic based on Fitting's work on Intuitionistic Set Theory. We start by stating some results concerning construct…

math.LO2021

A characterization of Continuous Logic by using quantale-valued logics

David Reyes, Pedro H. Zambrano

In this paper, we propose a generalization of Continuous Logic ([BBHU08]) where the distances take values in suitable co-quantales (in the way as it was proposed in [Fla97]). By as…

math.LO2018

A natural semantics for the pullback of fiber bundles of structures

Leonardo A. Cano G, Pedro H. Zambrano

We remark that forcing on fiber bundles of structures of first order languages is not a compatible semantics with the pullback (of fiber bundles) and we describe a semantics which…

math.LO2018

Tameness in generalized metric structures

Michael Lieberman, Jiri Rosicky, Pedro Zambrano

We broaden the framework of metric abstract elementary classes (mAECs) in several essential ways, chiefly by allowing the metric to take values in a well-behaved quantale. As a pro…

math.LO2015★ 6 cited

Around the set-theoretical consistency of d-tameness of Metric Abstract Elementary Classes

Will Boney, Pedro Zambrano

In this paper, we prove that if is a almost strongly compact cardinal, then any MAEC with Löwenheim-Skolem number below is -d-tame.

math.LO2015★ 1 cited

Towards a proof of the Shelah Presentation Theorem in Metric Abstract Elementary Classes

Pedro Zambrano

In my PhD thesis a version of Shelah's Presentation Theorem in the setting of Metric Abstract Elementary Classes was proved, where we claimed that the new function symbols are not…

math.LO2014★ 1 cited

A global approach to AECs

Hugo Luiz Mariano, Andrés Villaveces, Pedro Hernan Zambrano

In this work we present some general categorial ideas on Abstract Elementary Classes (AECs) %\cite{She}, inspired by the totality of AECs of the form , for a fir…

math.LO2013

Around Independence and Domination in Metric Abstract Elementary Classes, under Uniqueness of Limit Models

Andrés Villaveces, Pedro Zambrano

We study notions of independence appropriate for a stability theory of metric abstract elementary classes (for short, MAECs). We build on previous notions used in the discrete case…

math.LO2013★ 1 cited

Limit Models in Metric Abstract Elementary Classes: the Categorical case

Andrés Villaveces, Pedro Zambrano

We study versions of limit models adapted to the context of *metric abstract elementary classes*. Under categoricity and superstability-like assumptions, we generalize some theorem…

math.LO2011★ 1 cited

A stability transfer theorem in d-tame Metric Abstract Elementary Classes

Pedro Zambrano

In this paper, we study a stability transfer theorem in d-tame Metric Abstract Elementary classes, in a similar way as in [BaKuVa], but using superstability-like assumptions which…