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JSYML
2006
97views more  JSYML 2006»
13 years 9 months ago
The proper forcing axiom and the singular cardinal hypothesis
We show that the Proper Forcing Axiom implies the Singular Cardinal Hypothesis. The proof uses the reflection principle MRP introduced by Moore in [11].
Matteo Viale
JSYML
2006
71views more  JSYML 2006»
13 years 9 months ago
The generalised type-theoretic interpretation of constructive set theory
Abstract. We present a generalisation of the type-theoretic interpretation of constructive set theory into Martin-L
Peter Aczel, Nicola Gambino
JSYML
2006
61views more  JSYML 2006»
13 years 9 months ago
Shelah's categoricity conjecture from a successor for tame abstract elementary classes
R FOR TAME ABSTRACT ELEMENTARY CLASSES RAMI GROSSBERG AND MONICA VANDIEREN We prove a categoricity transfer theorem for tame abstract elementary classes.
Rami P. Grossberg, Monica Van Dieren
JSYML
2006
84views more  JSYML 2006»
13 years 9 months ago
Generix never gives up
We prove conjugacy and generic disjointness of generous Carter subgroups in groups of finite Morley rank. We elaborate on groups with a generous Carter subgroup and on a minimal c...
Eric Jaligot
JSYML
2006
58views more  JSYML 2006»
13 years 9 months ago
Strongly minimal groups in the theory of compact complex spaces
Abstract. We characterise strongly minimal groups interpretable in elementary extensions of compact complex analytic spaces.
Matthias Aschenbrenner, Rahim Moosa, Thomas Scanlo...