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JSYML
1998
13 years 5 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
1998
13 years 5 months ago
1998
A definition of nonstandard universe which gets over the limitation to the finite levels of the cumulative hierarchy is proposed. Though necessarily nonwellfounded, nonstandard ...
JSYML
1998
13 years 5 months ago
1998
In this paper we show that the compactness of a Loeb space depends on its cardinality, the nonstandard universe it belongs to and the underlying model of set theory we live in. In...
JSYML
1998
13 years 5 months ago
1998
Abstract. After small forcing, any <κ-closed forcing will destroy the supercompactness and even the strong compactness of κ. In a delightful argument, Laver [L78] proved that ...