Proper and Improper Forcing, Shelah

Автор: Miller
Название: Descriptive Set Theory and Forcing
ISBN: 1107168066 ISBN-13(EAN): 9781107168060
Издательство: Cambridge Academ
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Описание: These notes develop the theory of descriptive sets, leading up to a new proof of Louveau`s separation theorem for analytic sets. A first course in mathematical logic and set theory is assumed, making this book suitable for advanced students and researchers.

Название: Forcing for Mathematicians
ISBN: 9814566004 ISBN-13(EAN): 9789814566001
Издательство: World Scientific Publishing
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Описание: Ever since Paul Cohen's spectacular use of the forcing concept to prove the independence of the continuum hypothesis from the standard axioms of set theory, forcing has been seen by the general mathematical community as a subject of great intrinsic interest but one that is technically so forbidding that it is only accessible to specialists. In the past decade, a series of remarkable solutions to long-standing problems in C*-algebra using set-theoretic methods, many achieved by the author and his collaborators, have generated new interest in this subject. This is the first book aimed at explaining forcing to general mathematicians. It simultaneously makes the subject broadly accessible by explaining it in a clear, simple manner, and surveys advanced applications of set theory to mainstream topics.