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Titlebook: Handbook of Set Theory; Matthew Foreman,Akihiro Kanamori Book 2010 Springer Science+Business Media B.V. 2010 Arithmetic.Combinatorics.Cont

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楼主: Croching
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Borel Equivalence Relations,idered part of descriptive set theory, it traces its origins back to areas entirely outside logic. In fact this survey starts with Silver’s theorem on the number of equivalence classes of a co-analytic equivalence relation and the landmark Harrington-Kechris-Louveau dichotomy theorem, but also takes
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Invariants of Measure and Category,erties of the associated ideals, particularly, their cardinal characteristics. The key notion is the Tukey reducibility which compares partial orders with respect to their cofinality type. We define small sets of reals associated with cardinal invariants and discuss their properties. We present a nu
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Iterated Forcing and Elementary Embeddings,f extending a (possibly generic) elementary embedding of the universe to a larger domain, which is typically a generic extension of the ground model by some iterated forcing construction..Topics covered include.(a) building, transfer and alteration of generic objects.(b) strong and weak master condi
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