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JSYML
2007

49views more JSYML 2007»

13 years 9 months ago

Let A1, . . . , An, An+1 be a ﬁnite sequence of algebras of sets given on a set X, n k=1 Ak = P(X), with more than 4 3 n pairwise disjoint sets not

L. S. Grinblat

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18

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JSYML
2007

68views more JSYML 2007»

Bounding nonsplitting enumeration degrees

13 years 9 months ago

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We show that every nonzero Σ0 2 enumeration degree bounds a nonsplitting nonzero enumeration degree.

Thomas F. Kent, Andrea Sorbi

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27

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JSYML
2007

57views more JSYML 2007»

Red fields

13 years 9 months ago

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We apply Hrushovski-Fra¨ıss´e’s amalgamation procedure to obtain a theory of ﬁelds of prime characteristic of Morley rank 2 equipped with a

Andreas Baudisch, A. Martin-Pizarro, M. Ziegler

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32

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JSYML
2007

74views more JSYML 2007»

A power function with a fixed finite gap everywhere

13 years 9 months ago

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We give an application of the extender based Radin forcing to cardinal arithmetic. Assuming κ is a large enough cardinal we construct a model satisfying 2κ = κ+n together with 2...

Carmi Merimovich

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27

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JSYML
2007

51views more JSYML 2007»

Forcing indestructibility of set-theoretic axioms

13 years 9 months ago

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Various theorems for the preservation of set-theoretic axioms under forcing are proved, regarding both forcing axioms and axioms true in the L´evy collapse. These show in particul...

Bernhard König

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