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    Chapter

    Proper Forcing

    The aim of this chapter is to develop the theory of proper forcings and their iteration and to provide interesting examples of its usefulness and range of applications. Our presentation is detailed and should ...

    Uri Abraham in Handbook of Set Theory (2010)

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    Chapter

    Cardinal Arithmetic

    Following the work of Gödel and Cohen we now know that it is impossible to determine the exact value of the continuum or of the power set of an arbitrary cardinal. Despite the limitations that the consistency ...

    Uri Abraham, Menachem Magidor in Handbook of Set Theory (2010)

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    Article

    On Poset Boolean Algebras

    Let (P,≤) be a partially ordered set. The poset Boolean algebra of P, denoted F(P), is defined as follows: The set of generators of F(P) is {x p  : pP}, and the...

    Uri Abraham, Robert Bonnet, Wiesław Kubiś, Matatyahu Rubin in Order (2003)

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    Article

    A note on Dilworth's theorem in the infinite case

    If is a poset and every antichain is finite, and if the length of the well-founded poset of antichains is less than ω2 1, then is the union of countably many chains. We also compute the length of the poset of...

    Uri Abraham in Order (1987)