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Ample thoughts
- Source :
- J. Symbolic Logic 78, iss. 2 (2013), 489-510, The Journal of Symbolic Logic, The Journal of Symbolic Logic, Association for Symbolic Logic, 2013, 78 (2), pp.489-510. ⟨10.2178/jsl.7802080⟩
- Publication Year :
- 2013
- Publisher :
- Association for Symbolic Logic, 2013.
-
Abstract
- Non-n-ampleness as denned by Pillay [20] and Evans [5] is preserved under analysability. Generalizing this to a more general notion of Σ-ampleness, this gives an immediate proof for all simple theories of a weakened version of the Canonical Base Property (CBP) proven by Chatzidakis [4] for types of finite SU-rank. This is then applied to the special case of groups.
- Subjects :
- flat
Property (philosophy)
Logic
stable
simple
one-based
CM-trivial
$n$-ample
internal
analysable
closure
level
Mathematics::Algebraic Geometry
03C45
Simple (abstract algebra)
canonical base property
FOS: Mathematics
Special case
Mathematics
ultraflat
Mathematics - Logic
16. Peace & justice
Base (topology)
Algebra
Philosophy
[MATH.MATH-LO]Mathematics [math]/Logic [math.LO]
Logic (math.LO)
Subjects
Details
- Language :
- English
- ISSN :
- 00224812 and 19435886
- Database :
- OpenAIRE
- Journal :
- J. Symbolic Logic 78, iss. 2 (2013), 489-510, The Journal of Symbolic Logic, The Journal of Symbolic Logic, Association for Symbolic Logic, 2013, 78 (2), pp.489-510. ⟨10.2178/jsl.7802080⟩
- Accession number :
- edsair.doi.dedup.....ec837c20d156d06f0bc9f29bd9b872ef
- Full Text :
- https://doi.org/10.2178/jsl.7802080⟩