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JSYML
2010
13 years 3 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
12 years 11 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 3 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 3 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 3 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...