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ℙmax variations related to slaloms

✍ Scribed by Teruyuki Yorioka

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
231 KB
Volume
52
Category
Article
ISSN
0044-3050

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✦ Synopsis

We prove the iteration lemmata, which are the key lemmata to show that extensions by Pmax variations satisfy absoluteness for Π2-statements in the structure H(ω2), ∈, NSω 1 , R for some set R of reals in L(R), for the following statements:

(1) The cofinality of the null ideal is ℵ1.

(2) There exists a good basis of the strong measure zero ideal.

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