Beller, A.,
Coding the Universe / A. Beller, R. Jensen, P. Welch. - Cambridge : Cambridge University Press, 1982. - 1 online resource (360 pages) : digital, PDF file(s). - London Mathematical Society Lecture Note Series ; no. 47 . - London Mathematical Society Lecture Note Series ; no. 47. .
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
Axiomatic set theory is the concern of this book. More particularly, the authors prove results about the coding of models M, of Zermelo-Fraenkel set theory together with the Generalized Continuum Hypothesis by using a class 'forcing' construction. By this method they extend M to another model L[a] with the same properties. L[a] is Gödels universe of 'constructible' sets L, together with a set of integers a which code all the cardinality and cofinality structure of M. Some applications are also considered. Graduate students and research workers in set theory and logic will be especially interested by this account.
9780511629198 (ebook)
Coding the Universe / A. Beller, R. Jensen, P. Welch. - Cambridge : Cambridge University Press, 1982. - 1 online resource (360 pages) : digital, PDF file(s). - London Mathematical Society Lecture Note Series ; no. 47 . - London Mathematical Society Lecture Note Series ; no. 47. .
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
Axiomatic set theory is the concern of this book. More particularly, the authors prove results about the coding of models M, of Zermelo-Fraenkel set theory together with the Generalized Continuum Hypothesis by using a class 'forcing' construction. By this method they extend M to another model L[a] with the same properties. L[a] is Gödels universe of 'constructible' sets L, together with a set of integers a which code all the cardinality and cofinality structure of M. Some applications are also considered. Graduate students and research workers in set theory and logic will be especially interested by this account.
9780511629198 (ebook)