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 Nicht verfügbar
ISBN 13 9780444868398
ISBN 10 0444868399
Titel Set Theory An Introduction To Independence Proofs
Autor K Kunen
Serie Studies In Logic And The Foundations Of Mathematics
Buchzustand Nicht verfügbar
Bindungsart Hardback
Verlag Elsevier Science & Technology
Erscheinungsjahr 1983-12-01
Seitenanzahl 330
Hinweis auf dem Einband Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis Nicht verfügbar