Higher Set Theory

Proceedings, Oberwolfach, Germany, April 13-23, 1977
Herausgegeben:Müller, G. H.; Scott, D. S.

• Broschiertes Buch

Produktbeschreibung

Wellordered subclasses of proper classes.- A proof of foundation from axioms of cumulation.- Categoricity with respect to ordinals.- Classically and intuitionistically provably recursive functions.- Hierarchies of sets definably by means of infinitary languages.- Some results on degrees of constructibility.- Constructive universes I.- The evolution of large cardinal axioms in set theory.- Forcing in analysis.- Recursivity and compactness.- Fine structure theory of the constructible universe in ?- and ?-recursion theory.- On a class of models of the n-th order arithmetic.- O# and the p-point problem.- A combinatorial characterization of inaccessible cardinals.- Singular cardinals and analytic games.- Regressive functions and stationary sets.- Cardinals in the inner model HOD.- Partitions of the real line into X 1 closed sets.- G¿del numbers of product spaces.- A note on increasing sequences of constructibility degrees.

Produktdetails

• Lecture Notes in Mathematics 669
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-08926-1
• 1978
• Seitenzahl: 492
• Erscheinungstermin: 1. September 1978
• Englisch
• Abmessung: 235mm x 155mm x 27mm
• Gewicht: 762g
• ISBN-13: 9783540089261
• ISBN-10: 3540089268
• Artikelnr.: 23568771

Inhaltsangabe

Wellordered subclasses of proper classes.- A proof of foundation from axioms of cumulation.- Categoricity with respect to ordinals.- Classically and intuitionistically provably recursive functions.- Hierarchies of sets definably by means of infinitary languages.- Some results on degrees of constructibility.- Constructive universes I.- The evolution of large cardinal axioms in set theory.- Forcing in analysis.- Recursivity and compactness.- Fine structure theory of the constructible universe in ?- and ?-recursion theory.- On a class of models of the n-th order arithmetic.- O and the p-point problem.- A combinatorial characterization of inaccessible cardinals.- Singular cardinals and analytic games.- Regressive functions and stationary sets.- Cardinals in the inner model HOD.- Partitions of the real line into X 1 closed sets.- Gödel numbers of product spaces.- A note on increasing sequences of constructibility degrees.