Set Theory An Introduction To Independence Proofs by K Kunen

Set Theory An Introduction To Independence Proofs by K Kunen

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Set Theory An Introduction To Independence Proofs by K Kunen

Studies in Logic and the Foundations of Mathematics, Volume 102: Set Theory: An Introduction to Independence Proofs offers an introduction to relative consistency proofs in axiomatic set theory, including combinatorics, sets, trees, and forcing. The book first tackles the foundations of set theory and infinitary combinatorics. Discussions focus on the Suslin problem, Martin's axiom, almost disjoint and quasi-disjoint sets, trees, extensionality and comprehension, relations, functions, and well-ordering, ordinals, cardinals, and real numbers. The manuscript then ponders on well-founded sets and easy consistency proofs, including relativization, absoluteness, reflection theorems, properties of well-founded sets, and induction and recursion on well-founded relations. The publication examines constructible sets, forcing, and iterated forcing. Topics include Easton forcing, general iterated forcing, Cohen model, forcing with partial functions of larger cardinality, forcing with finite partial functions, and general extensions. The manuscript is a dependable source of information for mathematicians and researchers interested in set theory.
SKU Non disponible
ISBN 13 9780444868398
ISBN 10 0444868399
Titre Set Theory An Introduction To Independence Proofs
Auteur K Kunen
Série Studies In Logic And The Foundations Of Mathematics
État Non disponible
Type de reliure Hardback
Éditeur Elsevier Science & Technology
Année de publication 1983-12-01
Nombre de pages 330
Note de couverture La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note Non disponible