Papers

Papers and others

• • Kripke-like models of Set Theory in Modal Residuated Logic, with Jose Moncayo. Preprint. PDF.

  • Constructible sets in lattice-valued models: A negative result, with Jose Moncayo. PDF.

  • Tameness in generalized metric structures, with Michael Lieberman and Jiri Rosicky.  Archive for Mathematical Logic volume 62 issue 3-4, pages 531–558 (2023)

  • Co-quantale valued logics, with David Reyes. Preprint. Pdf.

  • A natural semantics for the pullback of fiber bundles of structures , with Leonardo Cano. Submitted. Pdf.

  • Around the set-theoretical consistency of d- tameness of Metric Abstract Elementary Classes, with Will Boney. Preprint. Pdf.

  • Limit models in metric abstract elementary classes: The categorical case., with Andrés Villaveces. Accepted at Math. Logic Q. 2015. Pdf.

  • Around independence and Domination in Metric Abstract Elementary Classes: assuming uniqueness of limit models, with Andrés Villaveces. Math. Logic Q vol 60 issue 3/2014 pp 211-227. An early version can be found at arxiv.

  • A Stability transfer theorem in d-tame Metric Abstract Elementary Classes, Math Logic Q Volume 58, Issue 4-5,pages 333–341, August 2012. pdf.

  • Around Superstability in Metric Abstract Elementary Classes., my Phd. Thesis. Pdf.

  • Notions of Independence for Metric Abstract Elementary Classes, with Andrés Villaveces. Accepted at Preprint series of Mittag-Leffler Institute (Sweden).pdf

• • Around Superstability in Metric Abstract Elementary Classes: Limit Models and r-Towers, with Andrés Villaveces. Accepted at Preprint series of Mittag-Leffler Institute (Sweden). pdf

  • Hrushovski constructions in non-elementary classes, accepted at Boletín de Matemáticas.

  • Hrushovski constructions and Tame Abstract Elementary Classes, with Andrés Villaveces. In preparation. pdf.

  • Cats, the LSTD theorem and the disjoint amalgamation property, Boletín de Matemáticas nueva serie, vol. XII número 1 (2005), pg. 19-28 pdf

  • Construcciones de Hrushovski y clases no elementales (in Spanish), my Master's thesis. dvi pdf ps

  • Course in Measure Theory (in Spanish). It's a virtual course about Measure Theory, written with Leonardo Rendón. html

  • Condiciones para la representación axiomática de clases de estructuras, en varios contextos. This is my undergraduate dissertation which was adviced byAndrés Montoya. This thesis got second place in the contest "Best undergraduate thesis" at Universidad Nacional de Colombia and got second place in the contest "Otto de Greiff". In Spanish. pdf