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JSYML
2008
68views more  JSYML 2008»
13 years 7 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 7 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 7 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 7 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 7 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 7 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 7 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 7 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