Elías Baro González

Published:

• Corrigendum to "Locally definable groups in o-minimal structures",E.Baro and M.J. Edmundo, PDF.
  J. Algebra 320 (2008), no. 7, 3079-3080
• Normal triangulations in o-minimal structures, E.Baro, PDF.
  J. Symbolic Logic 75 (2010), no. 1, 275--288.
• Locally definable homotopy, E.Baro and M.Otero, PDF.
  Ann. Pure Appl. Logic 161 (2010), no. 4, 488--503.
• On o-minimal homotopy groups, E.Baro and M.Otero, PDF.
  Quart. J. Math. 61 (2010), no. 3, 275--289.
• On the o-minimal LS-category , E.Baro, PDF.
  Israel J. Math. 185 (2011), no. 1, 61--76.
• Commutators in groups definable in o-minimal structures, E.Baro, E.Jaligot and M.Otero, PDF (long version).
  Proc. Amer. Math. Soc. 140 (2012), no. 10, 3629--3643.
• Topology of definable abelian groups in o-minimal structures, E.Baro and A. Berarducci, PDF.
  Bull. Lond. Math. Soc. 44 (2012), no. 3, 473--479.
• Cartan subgroups of groups definable in o-minimal structures, E.Baro, E.Jaligot and M.Otero, PDF.
  J. Inst. Math. Jussieu. 13 (2014), no. 4, 849--.893.doi:10.1017/S1474748013000352
• Approximation on Nash sets with monomial singularities, E.Baro, J.F. Fernando, J.M. Ruiz, PDF.
  Adv. Math. 262 (2014) 59–114
• The derived subgroup of linear and simply-connected o-minimal groups, E.Baro,PDF.
  J. Algebra 527 (2019), 1-19.
• An extension result for maps admitting an AAT, E.Baro, J.de Vicente, M.Otero, PDF.
  J. Geom. Anal. 29 (2019), no. 1, 316-327.DOI: 10.1007/s12220-018-9992-7.
  
• Locally C-Nash groups, E.Baro, J.de Vicente, M.Otero, PDF.
  Rev. Mat. Complut. 32 (2019), no. 2, 531-558. DOI: 10.1007/s13163-018-0278-1.
  
• Cartan subgroups and regular points of o-minimal groups, E.Baro, A. Berarducci, M.Otero, PDF.
  J. London. Math. Soc. 100 (2019), no.2, 361-382. DOI: 10.1112/jlms.12216.
• Locally definable subgroups of semialgebraic groups.E.Baro, P.E. Eleftheriou, Y. Peterzil, PDF.
  J. Math. Log. 20 (2020), no. 02, 2050009.
• Open core and small groups in dense pairs of topological structures, E.Baro, A. Martín-Pizarro, PDF.
  Ann. Pure Appl. Logic 172 (2021), no. 1, 102858, 26 pp.

Accepted:

• Spectral maps associated to semialgebraic branched coverings , E.Baro, J. F. Fernando, J.M. Gamboa, PDF.
  Accepted in Revista Matemática Complutense. DOI
• Two-dimensional simply connected abelian locally Nash groups, E.Baro, J.de Vicente, M.Otero, PDF.
  Accepted in Quart. J. Math. DOI

Preprints:

• Rings of differentiable semialgebraic functions, E.Baro, J. F. Fernando, J.M. Gamboa, PDF.
  

Posters:

• Poster for the MODNET Barcelona Conference , E.Baro, PDF
• Poster for the ESF Research Conference in Model Theory, E.Baro, PDF
• Poster for the ICMS Recent developments in the applications of model theory to algebraic, analytic and diophantine geometry, E.Baro, PDF

PhD Thesis:

PhD thesis defended in 2009.

• On o-minimal homotopy, PDF.
      Directed by Margarita Otero Domínguez.

Trabajos del DEA:

Trabajos realizados en la UAM durante el curso 2005-2006 para la obtención del Diploma de Estudios Avanzados.

• Grupos definibles en cuerpos locales y cuerpos pseudo-finitos, PDF.
      Trabajo de investigación dirigido por Margarita Otero Domínguez.
• Geometría analítica: sobre los conjuntos analíticos reales y complejos, PDF.
      Trabajo de investigación dirigido por María Ángeles Zurro Moro.