Set Theory An Introduction To Independence Proofs
ISBN-13:
9780444564023
ISBN-10:
0444564020
Author:
Kenneth Kunen
Publication date:
2012
Publisher:
North Holland
Format:
Paperback
332 pages
Category:
Computer Science
FREE US shipping
Book details
ISBN-13:
9780444564023
ISBN-10:
0444564020
Author:
Kenneth Kunen
Publication date:
2012
Publisher:
North Holland
Format:
Paperback
332 pages
Category:
Computer Science
Summary
Set Theory An Introduction To Independence Proofs (ISBN-13: 9780444564023 and ISBN-10: 0444564020), written by authors
Kenneth Kunen, was published by North Holland in 2012.
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Description
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.
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