BCNSETS
BARCELONA RESEARCH GROUP IN SET THEORY
Researchers - Joan Bagaria
 
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Joan Bagaria i Pigrau

Position: ICREA Research Professor
Affiliation: ICREA & Universitat de Barcelona
Postal address: Departament de Lògica,
Universitat de Barcelona,
C. Montalegre 6,
08001 Barcelona (Spain)
Phone: +34 935 670 686, +34 934 037 976
E-mail: joan.bagariaicrea.cat
Webpage: www.icrea.es
SCIENTIFIC INTERESTS: Set Theory.
CV    Joan Bagaria_CV .pdf
PUBLICATIONS

RESEARCH ARTICLES
  • Bagaria, J., C(n)-Cardinals. .pdf Version 19/03/2010

  • Bagaria, J.; Casacuberta, C,; Mathias, A.R.D.; Rosicky, J., Definable orthogonality classes in accessible categories are small .pdfPreprint.

  • Bagaria, J.; Kanovey, V., On coding uncountable sets by reals, .pdfMathematical Logic Quarterly. To appear.

  • Bagaria, J.; Di Prisco, C., Parameterized partition relations on the real numbers.c Archive for Mathematical Logic, Vol. 48, Issue 2 (2009).

  • Bagaria, J.; Casacuberta, C., and Mathias, A.R.D., Epireflections and supercompact cardinals, .pdf Journal of Pure and Applied Algebra, 213, (2009)

  • Bagaria, J.; Bosch, R., Generic absoluteness under projective forcing. .pdfFundamenta Mathematicae, Vol. 194, 95-120 (2007)

  • Bagaria, J.; Castells, N.; and Larson, P., An \Omega-Logic Primer. In Set Theory. Centre de Recerca Matemàtica, Barcelona 2003-2004. Birkhäuser Verlag. Trends in Mathematics Series, 1-28 (2006)

  • 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., 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.; Bosch, R., Proper forcing extensions and Solovay models. Archive for Mathematical Logic, Vol. 43, 739-750 (2004)

  • Bagaria, J.; Bosch, R., Solovay models and forcing extensions. The Journal of Symbolic Logic, Vol. 69, Num. 3, 742-766 (2004)

  • 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., Locally-generic Boolean algebras and cardinal sequences. Algebra Universalis, Vol. 47, 283-302 (2002)

  • Bagaria, J.; López Abad, J., Weakly-Ramsey sets in Banach spaces. Advances in Mathematics, Vol. 160, 133-174 (2001)

  • Asperó, D.; Bagaria, J., Bounded forcing axioms and the continuum. Annals of Pure and Applied Logic, Vol. 109, Num. 3, 179-203 (2001)

  • Bagaria, J.; Friedman, S., Generic absoluteness. Annals of Pure and Applied Logic, Vol. 108, Num. 1-3, 3-13 (2001)

  • Bagaria, J., Bounded forcing axioms as principles of generic absoluteness, Archive For Mathematical Logic, Vol. 39, 393-401 (2000)

  • 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.; Woodin, W.H., \mathbf{\Delta^1_n}-sets of reals. The Journal of Symbolic Logic, Vol. 62, Num. 4, 1379-1428 (1997)

  • 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.; Bosch, R., Projective Forcing, Annals of Pure and Applied Logic, Vol. 86, 237-266 (1997)

  • 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.; 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)

SURVEY ARTICLES
  • Bagaria, J., Set Theory, .pdf Princeton Companion to Mathematics. Timothy Gowers, June Barrow-Green, and Imre Leader, Editors. Princeton. In Press.

  • Bagaria, J., Thin-tall spaces. In Open Problems in Topology II. Elliot Pearl, Editor. Elsevier, 115-125 (2007)

  • Bagaria, J., La teoria de Ramsey infinita. Una mica d'història i alguns resultats recents, .pdf Butlletí de la Societat Catalana de Matemàtiques. Institut d'Estudis Catalans. Vol. 18, Num. 2, 7-24 (2003)

  • Bagaria, J., A short guide to Gödel's second incompleteness Theorem. Teorema, Vol. 22/3, 5-15 (2003)

  • Bagaria, J., Una petita excursió al paradís de Cantor, .pdf In Matemàtiques del segle XXI: dels fonaments a la tecnología. Manuel Castellet, Editor. Fundació Caixa Sabadell. Vol. 20, 21-40 (2003)

  • 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., Paul J. Cohen y la técnica del forcing , .pdf La Gaceta de la Real Sociedad Matemática Española. Real Sociedad Matemática Española. Vol. 2, Num. 3, 543-553 (1999)

  • 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)

RECENT TALKS

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