TY - BOOK AU - Beller,A. AU - Jensen,Ronald Björn AU - Welch,P. TI - Coding the universe T2 - London Mathematical Society lecture note series SN - 9780511629198 (ebook) AV - QA248 .B45 1982 U1 - 511.3/22 19 PY - 1982/// CY - Cambridge PB - Cambridge University Press KW - Axiomatic set theory KW - Logic, Symbolic and mathematical N1 - Title from publisher's bibliographic system (viewed on 05 Oct 2015) N2 - 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 UR - https://doi.org/10.1017/CBO9780511629198 ER -