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Zermelo-Fraenkel set theory.- The constructible universe.- The axiom of constructibility, the condensation lemma, and the consistency of the generalised continuum hypothesis.- The Souslin hypothesis.- The Kurepa hypothesis.- Constructibility and the continuum.- The Jensen hierarchy of constructible sets.- The fine structure of the Jensen hierarchy.- The combinatorial principles {ie104-1}.- The generalised Souslin hypothesis for successor cardinals.- Ineffable cardinals and the generalised Kurepa hypothesis.- Weakly compact cardinals and the generalised Souslin hypothesis.- The Gap-1 two cardinals theorem.- Gap-1 morasses.- The gap-2 two cardinals theorem. (Jensen).- Small large cardinals.- Medium large cardinals.- Large large cardinals.- Relative constructibility.- The inner model L[?].- Strongly compact cardinals and relative constructibility.
List of contents
Zermelo-Fraenkel set theory.- The constructible universe.- The axiom of constructibility, the condensation lemma, and the consistency of the generalised continuum hypothesis.- The Souslin hypothesis.- The Kurepa hypothesis.- Constructibility and the continuum.- The Jensen hierarchy of constructible sets.- The fine structure of the Jensen hierarchy.- The combinatorial principles {ie104-1}.- The generalised Souslin hypothesis for successor cardinals.- Ineffable cardinals and the generalised Kurepa hypothesis.- Weakly compact cardinals and the generalised Souslin hypothesis.- The Gap-1 two cardinals theorem.- Gap-1 morasses.- The gap-2 two cardinals theorem. (Jensen).- Small large cardinals.- Medium large cardinals.- Large large cardinals.- Relative constructibility.- The inner model L[?].- Strongly compact cardinals and relative constructibility.
About the author
Keith J. Devlin, geb. 1947, ist Mathematikprofessor in Stanford, wo er nur noch der 'Math-Guy', der Mathekumpel, genannt wird, der allen Mathematikgeschädigten Linderung verschafft. Keith Devlin ist Autor einer regelmäßigen Kolumne, Autor zahlreicher mathematischer Fachartikel und von über 20 populären Büchern von, mit und über die Mathematik.
