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Preprints, Working Papers, ... Year : 2013

AMPLE HIERARCHY

Andreas Baudisch
  • Function : Author
  • PersonId : 945584
Amador Martin-Pizarro
  • Function : Author
  • PersonId : 878167
Martin Ziegler
  • Function : Author
  • PersonId : 945585

Abstract

The ample hierarchy of geometries of stables theories is strict. We generalise the construction of the free pseudospace to higher dimensions and show that the n-dimensional free pseudospace is ω-stable n-ample yet not (n+1)-ample. In particular, the free pseudospace is not 3-ample. A thorough study of forking is conducted and an explicit description of canonical bases is exhibited.
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Dates and versions

hal-00863214 , version 1 (25-09-2013)
hal-00863214 , version 2 (19-11-2013)

Identifiers

  • HAL Id : hal-00863214 , version 2

Cite

Andreas Baudisch, Amador Martin-Pizarro, Martin Ziegler. AMPLE HIERARCHY. 2013. ⟨hal-00863214v2⟩
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