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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Cardinal Arithmetic,ary cardinal. Despite the limitations that the consistency methods impose, the quest for absolute answers as to the value of the power set (especially of singular cardinals) continues, and sometimes with surprising and unexpected directions. The pcf theory developed by Shelah and considerably extend

antiquated

Successors of Singular Cardinals,ed with large cardinals. In this chapter, we examine the combinatorics of successors of singular cardinals in detail. We use stationary reflection as our point of entry into the subject, and we sketch Magidor’s proof that it is consistent that all stationary subsets of such a cardinal reflect. Furth

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Prikry-Type Forcings, values of 2. for a cardinal .. Paul Cohen proved the independence of CH and invented the method of forcing. Easton building on Cohen’s results showed that the function .→2. for regular . can behave in any prescribed way consistent with the Zermelo-K?nig inequality, which entails cf?(2.)>.. This red

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Beginning Inner Model Theory,y of G?del’s class . of constructible sets, with an emphasis on the condensation property, introduces sharps, and includes a brief discussion of the Dodd-Jensen core model. The next two sections describe the extension of these concepts to arbitrary sequences of measures, and then via extender models

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OTTER

steelworks, a substantial collection of fastener factories in the Midlands and a group of collieries in South Wales, it had followed paths of both vertical and horizontal integration. According to a ranking prepared for 1919 based upon the estimated market value of capital, GKN came sixteenth (￡8.2