On the canonical base property

• Ehud Hrushovski ^[1] ; Daniel Palacín ^[2] ; Anand Pillay ^[3]
  1. [1] Hebrew University of Jerusalem

     Hebrew University of Jerusalem

     Israel

     
  2. [2] Universitat de Barcelona

     Universitat de Barcelona

     Barcelona, España

     
  3. [3] University of Leeds

     University of Leeds

     Reino Unido

     

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• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 19, Nº. 4, 2013, págs. 865-877
• Idioma: inglés
• DOI: 10.1007/s00029-013-0129-3
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• Resumen

  • We give an example of a finite rank, in fact ℵ1ℵ1 -categorical, theory where the canonical base property (CBP) fails. In fact, we give a “group-like” example in a sense that we will describe below. We also prove, in a finite Morley rank context, that if all definable Galois groups are “rigid,” then TT has the CBP.