Titlebook: Set Theory; Techniques and Appli Carlos Augusto Prisco,Jean A. Larson,A. R. D. Math Conference proceedings 1998 Springer Science+Business M

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Combinatorial Set Theory and Inner ModelsCore model theory has lead to a new hierarchy of square principles. In the other direction, various combinatorial principles have been used to construct core models with Woodin cardinals.

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Definable Ideals and Gaps in Their QuotientsWe extend some known results about analytic gaps and ideals on ? to all definable gaps and ideals assuming a covering property of definable sets of reals . which says that if . cannot be covered by countably many members of some family ? of closed sets then there is a .. set with the same property which is included in ..

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https://doi.org/10.1007/978-94-015-8988-8Arithmetic; Division; Lemma; cardinals; differential equation; forcing; set; set theory

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phisticated techniques to problems in analysis,topology, infinitary combinatorics and other areas of mathematics.This book contains a selection of contributions, some of which areexpository in nature, embracing various aspects of the latestdevelopments. Amongst topics treated are forcing axioms and

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Large Cardinal Properties of Small Cardinalssupercompact cardinals) is a recurring theme in set theory. In these notes I discuss three examples of this phenomenon; stationary reflection, saturated ideals and the tree property..None of the results discussed here is due to me unless I say so explicitly.

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