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JSYML
2008
68views more  JSYML 2008»
13 years 11 months ago
Some pathological examples of precipitous ideals
We construct a model with an indecisive precipitous ideal and a model with a precipitous ideal with a non precipitous normal ideal below it. Such kind of examples were previously ...
Moti Gitik
JSYML
2008
100views more  JSYML 2008»
13 years 11 months ago
Measurable chromatic numbers
We show that if add(null) = c, then the globally Baire and universally measurable chromatic numbers of the graph of any Borel function on a Polish space are equal and at most three...
Benjamin D. Miller
JSYML
2008
109views more  JSYML 2008»
13 years 11 months ago
Closed fragments of provability logics of constructive theories
In this paper we give a new proof of the characterization of the closed fragment of the provability logic of Heyting's Arithmetic. We also provide a characterization of the c...
Albert Visser
JSYML
2008
71views more  JSYML 2008»
13 years 11 months ago
Regular ultrafilters and finite square principles
We show that many singular cardinals above a strongly compact cardinal have regular ultrafilters D that violate the finite square principle fin ,D introduced in [3]. For such ult...
Juliette Kennedy, Saharon Shelah, Jouko A. Vä...
JSYML
2008
74views more  JSYML 2008»
13 years 11 months ago
Omitting types for finite variable fragments and complete representations of algebras
. We give a novel application of algebraic logic to first order logic. A new, flexible construction is presented for representable but not completely representable atomic relation ...
Tarek Sayed Ahmed, Hajnal Andréka, Istv&aac...
JSYML
2008
51views more  JSYML 2008»
13 years 11 months ago
Scott's problem for Proper Scott sets
Some 40 years ago, Dana Scott proved that every countable Scott set is the standard system of a model of PA. Two decades later, Knight and
Victoria Gitman
JSYML
2008
66views more  JSYML 2008»
13 years 11 months ago
Special groups whose isometry relation is a finite union of cosets
0-stable 0-categorical linked quaternionic mappings are studied and are shown to correspond (in some sense) to special groups which are 0stable, 0-categorical, satisfy AP(3) and ha...
Vincent Astier
JSYML
2008
50views more  JSYML 2008»
13 years 11 months ago
Analytic and coanalytic families of almost disjoint functions
If F N N is an analytic family of pairwise eventually different functions then the following strong maximality condition fails: For any countable H N N, no member of which is cov...
Bart Kastermans, Juris Steprans, Yi Zhang 0008