RESEARCH ARTICLES

•  S. Argyros, J. López, S. Todorcevic. A class of  Banach spaces with few non strictly singular operators. (.pdf) Submitted to Journal of the American Mathematical Society. 2003. 62 pp.
  
  
• S. Argyros, J. López, S. Todorcevic. A class of Banach spaces with no unconditional basic sequence.  C. R. Acad. Sci. Paris, Ser. I  337 (2003) 43--48.
  
  
• D. Asperó, A maximal bounded forcing axiom, The Journal of Symbolic Logic, vol. 67 (2002), 130-142.
  
  
• D. Asperó, On simple partitions of [k]^k., Fundamenta Mathematicae, vol. 177 (2003), 139-149.
  
  
• D. Asperó, Bounded forcing axioms and the size of the continuum, in Logic Colloquium 2000, Lecture Notes in Logic, vol. 19, Association for Symbolic Logic, Wellesley, Massachusetts, 2005, 211-227.
  
  
• D. Asperó, The nonexistence of robust codes for subsets of w₁ (.pdf), Fundamenta Mathematicae, vol. 186 (2005), 215-231.
  
  
• D. Asperó, Generic absoluteness for \Sigma_1 formulas and the continuum problem, in Logic Colloquium 2002, Lecture Notes in Logic, vol. 27, Association for Symbolic Logic, Wellesley, Massachusetts, 2006, 1-27.
  
  
• D. Asperó, Coding by club-sequences (.pdf), Annals of Pure and Applied Logic, vol. 142 (2006), 98-114.
  
  
• D. Asperó, Coding into H(w₂), together (or not) with forcing axioms. A survey (.pdf), To appear in Proceedings of the IMS workshop Computational prospects of infinity, (Singapore).
  
  
• D. Asperó, Guessing and non-guessing of canonical functions (.pdf) , Annals of Pure and Applied Logic, vol. 146 (2007), 150-179.
  
  
• D. Asperó and J. Bagaria, Bounded forcing axioms and the continuum, Annals of Pure and Applied Logic, vol. 109 (2001), 179-203.
  
  
• D. Asperó and Philip D. Welch, Bounded Martin's Maximum, weak Erdös cardinals, and y_AC, The Journal of Symbolic Logic, vol. 67 (2002), 1141-1152.
  
  
• Bagaria, J., Fragments of Martin's axiom and ?13 sets of reals. Annals of Pure and Applied Logic, Vol. 69, 1-25 (1994)
  
  
• Bagaria, J., A characterization of Martin's axiom in terms of absoluteness. The Journal of Symbolic Logic, Vol. 62, Num. 2, 366-372 (1997)
  
  
• Bagaria, J., Generic absoluteness and forcing axioms, In Models, Algebras and Proofs. Lecture Notes in Pure and Applied Mathematics. Marcel Dekker, Inc. Vol. 203, 1-12 (1999)
  
  
• Bagaria, J., Bounded forcing axioms as principles of generic absoluteness, Archive For Mathematical Logic, Vol. 39, 393-401 (2000)
  
  
• Bagaria, J., Locally-generic Boolean algebras and cardinal sequences. Algebra Universalis, Vol. 47, 283-302 (2002)
  
  
• Bagaria, J., Natural Axioms of Set Theory and the Continuum Problem. In Proceedings of the 12th International Congress of Logic, Methodology, and Philosophy of Science. King's College London Publications. 43-64 (2005)
  
  
• Bagaria, J., Axioms of Generic Absoluteness. In Logic Colloquium, 2002. Association for Symbolic Logic, Lecture Notes in Logic series, Vol. 27, 28-47 (2006)
  
  
• Bagaria, J.; Bosch, R., Projective Forcing, Annals of Pure and Applied Logic, Vol. 86, 237-266 (1997)
  
  
• Bagaria, J.; Bosch, R., Solovay models and forcing extensions. The Journal of Symbolic Logic, Vol. 69, Num. 3, 742-766 (2004)
  
  
• Bagaria, J.; Bosch, R., Proper forcing extensions and Solovay models. Archive for Mathematical Logic, Vol. 43, 739-750 (2004)
  
  
• Bagaria, J.; Bosch, R., Generic absoluteness under projective forcing. Fundamenta Mathematicae, Vol. 194, 95-120 (2007)
  
  
• Bagaria, J.; Casacuberta, C., and Mathias, A.R.D., Epireflections and supercompact cardinals. Journal of Pure and Applied Algebra, Vol. , (To appear)
  
  
• Bagaria, J.; Castells, N.; and Larson, P., An ?-Logic Primer. In Set Theory. Centre de Recerca Matemàtica, Barcelona 2003-2004. Birkhäuser Verlag. Trends in Mathematics Series, 1-28 (2006)
  
  
• Bagaria, J.; Di Prisco, C.,Parameterized partition relations on the real numbers. Archive for Mathematical Logic, Vol. , (To appear)
  
  
• Bagaria, J.; Friedman, S., Generic absoluteness. Annals of Pure and Applied Logic, Vol. 108, Num. 1-3, 3-13 (2001)
  
  
• Bagaria, J.; Judah, H., Amoeba forcing, Suslin absoluteness and additivity of measure. In Set Theory of the Continuum. MSRI Publications. Springer-Verlag. Volume 26, 155-173 (1992)
  
  
• Bagaria, J.; López Abad, J., Weakly-Ramsey sets in Banach spaces. Advances in Mathematics, Vol. 160, no.2, 133-174 (2001)
  
  
• Bagaria, J.; López Abad, J., Determinacy and weakly-Ramsey sets in Banach spaces.> Transactions of the American Mathematical Society, Vol. 354, Num. 4, 1327-1349 (2002)
  
  
• Bagaria, J.; , López Abad, J., Some Ramsey methods in Banach space theory. Request of The Bulletin of Symbolic Logic. 2003.
  
  
• Bagaria, J.; Woodin, W.H., \Delta^1_n-sets of reals. The Journal of Symbolic Logic, Vol. 62, Num. 4, 1379-1428 (1997)
  
  
• R. Bosch; El axioma de Martin para órdenes parciales productivos ccc versus el axioma de Martin para órdenes parciales proyectivos ccc. J. Velarde, J. A. López Cerezo y J. de la Pienda (eds.), Studia Philosophica II, Universidad de Oviedo: Oviedo; 2001, 41-69.
  
  
• R. Bosch; Small Definably-large Cardinals. In J. Bagaria and S. Todorcevic (eds.), Set Theory. Centre de Recerca Matemàtica, Barcelona, 2003-2004. Birkhäuser: Baesel; 2006, 55-82.
  
  
• I. Jané. What is Tarski's common concept of consequence? , The Bulletin of Symbolic Logic, 12 (2006): 1-42.
  
  
• I. Jané. Higher-order logic reconsidered , The Oxford Handbook of Philosophy of Mathematics and Logic (Stewart Shapiro, ed.) Oxford University Press (2005): 781-810.
  
  
• I. Jané. The iterative conception of sets from a Cantorian perspective , Logic, Methodology and Philosophy of Science. Proceedings of the Twelfth International Congress (Petr Hájek et al., eds). King's College Publications (2005): 373-393.
  
  
• I. Jané. What did Löwenheim prove? Essay review on C. Badesa: The Birth of Model Theory , Philosophia Mathematica, 13 (2005): 91-106.
  
  
• I. Jané. ¿De qué trata la teoria de conjuntos?, Enciclopedia Iberoamericana de Filosofía, vol 27: Filosoía de la lógica (2004): 247-275.
  
  
• I. Jané. Reflections on Skolem's Relativity of Set-Theoretical Concepts, Philosophia Mathematica, 9 (2001): 31-55. Reprinted in the Philosopher's Annual XXIV (2002).
  
  
• I. Jané. The Role of the Absolute Infinite in Cantor's Conception of Set, Erkenntnis, 42 (1995): 375-402.
  
  
• I. Jané. Lógica de orden superior, Enciclopedia Iberoamericana de Filosofía, vol 7: Lógica (1995): 105-128.
  
  
• I. Jané. A Critical Appraisal of Second-Order Logic, History and Philosophy of Logic, 14 (1993): 67-86. Reprinted in The International Research Library in Philosophy, vol 18: The Limits of Logic (S. Shapiro, ed.) (1996).
  
  
• I. Jané and G. Uzquiano. Well- and non-well-founded Fregean extensions , Journal of Philosophical Logic, 33 (2004): 437-465.
  
  
• J.López. A non separable Banach space unconditionally saturated and $\omega_1$-hereditarily indecomposable. In preparation. 2004.
  
  
• J. López, A. Manoussakis. On Mixed Tsirelson spaces. In preparation. 2004.
  
  
• J.López. Canonical equivalence relations on nets of $PS_{c_0}$. Submitted to Proceedings of the London Mathematical Society. 2003. 38 pp. http://www.crm.es/Publications/ps-pdf-Preprints2003/pr558.pdf
  
  
• J. López. Coding into Ramsey sets. Submitted to Mathematische Annalen. 2003. 18 pp. http://www.crm.es/Publications/ps-pdf-Preprints2003/pr557.pdf
  
  
• J. López. Canonical equivalence relations on $FIN_k.$  Tagungsbericht Oberwolfach. 2002.
  
  

SURVEY ARTICLES

• Bagaria, J., L'estructura del continu: resultats d'independència en anàlisi matemàtica. Butlletí de la Societat Catalana de Matemàtiques. Institut d'Estudis Catalans. Vol. 11, Num. 1, 7-18 (1996)
  
  
• Bagaria, J., Paul J. Cohen y la técnica del forcing. La Gaceta de la Real Sociedad Matemática Española. Real Sociedad Matemática Española. Vol. 2, Num. 3, 543-553 (1999)
  
  
• Bagaria, J., Sobre el estado actual de la teoría de Conjuntos. Boletín informativo de la Sociedad de Lógica, Metodología y Filosofía de la Ciencia en España. Sociedad de Lógica, Metodología i Filosofía de la Ciencia en España. Vol. 203, 48-51 (1999)
  
  
• Bagaria, J., Una petita excursió al paradís de Cantor. In Matemàtiques del segle XXI: dels fonaments a la tecnología. Manuel Castellet, Editor. Fundació Caixa Sabadell. Vol. 20, 21-40 (2003)
  
  
• Bagaria, J., A short guide to Gödel's second incompleteness Theorem. Teorema, Vol. 22/3, 5-15 (2003)
  
  
• Bagaria, J., La teoria de Ramsey infinita. Una mica d'història i alguns resultats recents. Butlletí de la Societat Catalana de Matemàtiques. Institut d'Estudis Catalans. Vol. 18, Num. 2, 7-24 (2003)
  
  
• Bagaria, J., Thin-tall spaces. In Open Problems in Topology II. Elliot Pearl, Editor. Elsevier, 115-125 (2007)
  
  
• Bagaria, J., Set Theory. Princeton Companion to Mathematics. Timothy Gowers, June Barrow-Green, and Imre Leader, Editors. Princeton. In Press.
  
  

REVIEWS

• Bagaria, J., Destruction or preservation as you like it, by Joel David Hamkins. Annals of pure and Applied Logic, 91 (1998), n. 2-3, 191-229. Mathematical Reviews, American Mathematical Society, Num. 99f:03071 (1999)
  
  
• Bagaria, J., Review of: S. Shelah and W. H. Woodin, Large cardinals imply that every reasonably definable set of reals is Lebesgue measurable. Israel Journal of Mathematics, Vol. 70, No. 3, 381-394, (1990). Bulletin of Symbolic Logic, Association for Symbolic Logic, Inc., Vol. 8, Num. 4, (2002)
  
  
• Bagaria, J., Review of: A. Kanamori, The Higher Infinite. Second Edition. Springer monographs in Mathematics. Springer-Verlag, 2003. La Gaceta de la Real Sociedad Matemática Española. Real Sociedad Matemática Española
  
  

THESES

• Weakly-Ramsey sets in Banach spaces, J. López-Abad, Ph.D. thesis, Universitat de Barcelona, 2000. Advisor: J. Bagaria.
  
  
• Bounded forcing axioms and the continuum, D. Asperó, Ph.D. thesis, Universitat de Barcelona, 2000. Advisor: J. Bagaria.
  
  
• Projective Forcing, R. Bosch, Ph.D. thesis, Universitat de Barcelona, 2002. Advisor: J. Bagaria.
  
  

OTHER PAPERS ON-LINE

• D. Asperó, Coding into H(k⁺) without parameters
  
  
• D.Asperó and Sy-D. Friedman, Large cardinals and locally defined well-orders of the universe.