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JSYML
2002
60views more  JSYML 2002»
13 years 6 months ago
Compact Complex Manifolds with The Dop and Other Properties
We point out that a certain complex compact manifold constructed by Lieberman has the dimensional order property, and has U-rank different from Morley rank. We also give a suffici...
Anand Pillay, Thomas Scanlon
JSYML
2002
78views more  JSYML 2002»
13 years 6 months ago
Some Results on Permutation Group Isomorphism and Categoricity
Abstract. We extend Morley's Theorem to show that if a theory is -pcategorical for some uncountable cardinal , it is uncountably categorical. We then discuss -p-categoriticy a...
Anand Pillay, Mark D. Schlatter
JSYML
2002
96views more  JSYML 2002»
13 years 6 months ago
Definitions of Compactness and The Axiom of Choice
We study the relationships between definitions of compactness in topological spaces and the roll the axiom of choice plays in these relationships.
Omar de la Cruz, Eric J. Hall, Paul E. Howard, Jea...
JSYML
2002
63views more  JSYML 2002»
13 years 6 months ago
Wellordering Proofs for Metapredicative Mahlo
In this article we provide wellordering proofs for metapredicative systems of explicit mathematics and admissible set theory featuring suitable axioms about the Mahloness of the u...
Thomas Strahm
JSYML
2002
66views more  JSYML 2002»
13 years 6 months ago
Open Questions in The Theory of Spaces of Orderings
f orderings provide an abstract framework in which to study spaces of orderings of formally real fields. Spaces of orderings of finite chain length are well understood [9] [12]. Th...
Murray A. Marshall