Proper and Improper Forcing
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Beschreibung
The book deals with set-theoretic independence results (independence from the usual set-theoretic ZFC axioms), in particular for problems on the continuum. Consequently, the theory of iterated forcing is developed. The author gives a complete presentation of the theory of proper forcing and its relatives, starting from the beginning and avoiding the metamathematical considerations. In addition to particular consistency results, the author shows methods which can be used for such independence results. Many of these are presented in an "axiomatic" framework (a la Martin's axiom) for this reason. The main aim of the book is thus to enable a researcher interested in an independence result of the approprate kind, to have much of the work done for him, thus allowing him to quote general results.
This book is the 2nd edition of the "Lecture Notes in Mathe- matics" volume 940 which appeared in 1982. For this new edition apart from revising the old material, the author has added new 6 chapters as well as a few additional sections to old chapters.
Autor*in
Saharon Shelah
Themen in »Proper and Improper Forcing«
Mengenlehre Unabhängigkeitsresultate independence results iterated forcing iteriertes "Forcing" set theory