Constructible Sets with Applications

Content: Edited by Page iii Copyright page Page v Preface Pages v-vi Andrzej Mostowski Chapter I Axioms and Auxiliary Notions Pages 1-21 Chapter II General Principles of Construction Pages 22-34 Chapter III Constructible Sets Pages 35-49 Chapter IV Functors and Their Definability Pages 50-68 Chapter V Constructible Sets as Values of a Functor Pages 69-84 Chapter VI C ПЂ(A) (О±) as a Model Pages 85-98 Chapter VII Consistency of the Axiom of Choice and of the Continuum Hypothesis Pages 99-119 Chapter VIII Reduction of Models Pages 120-126 Chapter IX Generic Points and Forcing; General Theory Pages 127-140 Chapter X Polynomials Pages 141-152 Chapter XI Explicit Construction of Polynomials for Functions B min , B O , B Z Pages 153-168 Chapter XII Examples of Models and of Independence Proofs Pages 169-188 Chapter XIII The Continuum Hypothesis Pages 189-222 Chapter XIV Independence of the Axiom of Choice Pages 223-247 Chapter XV Problems of Definability Pages 248-254 Appendix Pages 255-257 Bibliography Pages 258-259 List of Important Symbols Pages 260-265 Author Index Page 266 Subject Index Pages 267-269