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JSYML
2000
48views more  JSYML 2000»
13 years 9 months ago
Two Consistency Results on Set Mappings
It is consistent that there is a set mapping from the four-tuples of n into the finite subsets with no free subsets of size tn for some natural number tn. For any n < it is con...
Péter Komjáth, Saharon Shelah
JSYML
2000
78views more  JSYML 2000»
13 years 9 months ago
On Quantification with A Finite Universe
We consider a finite universe U (more exactly - a family U of them), second order quantifiers QK , where for each U this means quantifying over a family of n(K)-place relations clo...
Saharon Shelah
JSYML
2002
66views more  JSYML 2002»
13 years 9 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
JSYML
1998
51views more  JSYML 1998»
13 years 9 months ago
Compactness of Loeb Spaces
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...
Renling Jin, Saharon Shelah
JSYML
2010
71views more  JSYML 2010»
13 years 8 months ago
Limitwise monotonic functions, sets, and degrees on computable domains
We extend the notion of limitwise monotonic functions to include arbitrary computable domains. We then study which sets and degrees are support increasing (support strictly increas...
Asher M. Kach, Daniel Turetsky