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JSYML
2010
13 years 8 months ago
2010
We show that if G is a strongly minimal finitely axiomatizable group, the division ring of quasi-endomorphisms of G must be an infinite finitely presented ring.
JSYML
2010
13 years 4 months ago
2010
We develop several aspects of local and global stability in continuous first order logic. In particular, we study type-definable groups and genericity.
JSYML
2010
13 years 8 months ago
2010
Abstract. In [8] we have considered a wide class of “well-behaved” reducibilities for sets of reals. In this paper we continue with the study of Borel reducibilities by proving...
JSYML
2010
13 years 8 months ago
2010
Let L be a first-order language and Φ and Ψ two Σ1 1 L-sentences that cannot be satisfied simultaneously in any finite L-structure. Then obviously the following principle Cha...
JSYML
2010
13 years 8 months ago
2010
Dp-minimality is a common generalization of weak minimality and weak o-minimality. If T is a weakly o-minimal theory then it is dp-minimal (Fact 2.2), but there are dp-minimal den...