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AML
2008
83views more  AML 2008»
13 years 5 months ago
Even more simple cardinal invariants
Using GCH, we force the following: There are continuum many simple cardinal characteristics with pairwise different values. Mathematics Subject Classification (2000) 03E17
Jakob Kellner
AML
2006
49views more  AML 2006»
13 years 5 months ago
No Escape from Vardanyan's theorem
Vardanyan's Theorem states that the set of PA-valid principles of Quantified Modal Logic, QML, is complete 0 2. We generalize this result to a wide class of theories. The cru...
Albert Visser, Maartje de Jonge
AML
2000
71views more  AML 2000»
13 years 5 months ago
Consistency of V = HOD with the wholeness axiom
The Wholeness Axiom (WA) is an axiom schema that can be added to the axioms of ZFC in an extended language {, j}, and that asserts the existence of a nontrivial elementary embeddin...
Paul Corazza
AML
2000
101views more  AML 2000»
13 years 5 months ago
Local order property in nonelementary classes
We study a local version of the order property in several frameworks, with an emphasis on frameworks where the compactness theorem fails: (1) Inside a fixed model, (2) for classes ...
Rami P. Grossberg, Olivier Lessmann
AML
2010
91views more  AML 2010»
13 years 5 months ago
The limitations of cupping in the local structure of the enumeration degrees
Abstract We prove that a sequence of sets containing representatives of cupping partners for every nonzero 0 2 enumeration degree cannot have a 0 2 enumeration. We also prove that ...
Mariya Ivanova Soskova