Set Theory and Hierarchy Theory

A Memorial Tribute to Andrzej Mostowski. Bierutowice, Poland, 1975
1. Auflage 1976
ISBN: 978-3-540-07856-2
Verlag: Springer

Buch, Englisch, Band 537, 352 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1140 g

Reihe: Lecture Notes in Mathematics

Springer Book Archives

Zielgruppe

Research

Autoren/Hrsg.

Marek, W.

Srebrny, M.

Zarach, A.

Fachgebiete

• Mathematik | Informatik Mathematik Topologie

Inhaltsverzeichnis

Curriculum vitae of A. Mostowski.- Two remarks on the models of Morse’ set theory.- A remark on powers of singular cardinals.- Uncountable standard models of ZFC+V?L.- Changing cofinality of X 2.- Inductive definitions: Positive and monotone.- An alternative to Martin’s axiom.- Elementary extensions of ?-models of A2 with fixed height.- Das Problem von Souslin für geordnete algebraische Strukturen.- A cumulative system of fuzzy sets.- Non-standard satisfaction classes.- Ehrenfeucht games for generalized quantifiers.- Dimension and totally transcendental theories of rank 2.- Measure and categoricity in ?-recursion.- Urelements and extendability.- On limit reduced powers, saturateness and universality.- Extensions of models for ZFC to models for ZF+V=HOD with applications.- Decision problems for generalized quantifiers—A survey.- The alternative set theory.- Some cases of Künig’s lemma.- Categoricity relative to ordinals for models of set theory and the nonabsoluteness of L.- The universality of boolean algebras with the Härtig quantifier.- Von Neumann’s hierarchy and definable reals.- Generic extension of admissible sets.- Some remarks on observational model-theoretic languages.