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JSYML
1998
14 years 11 months ago
1998
Abstract. We extend Shelah’s first many model result to show that an unstable theory has 2κ many non-permutation group isomorphic models of size κ, where κ is an uncountable ...
JSYML
2010
14 years 10 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
14 years 10 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
14 years 10 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...
JSYML
2002
14 years 11 months ago
2002
A nonstandard set theory ZFC is proposed that axiomatizes the nonstandard embedding . Besides the usual principles of nonstandard analysis, all axioms of ZFC except regularity are...