Set Theory An Introduction To Independence Proofs
Kenneth Kunen
ISBN 10: 0444868399 ISBN 13: 9780444868398
Editore: North Holland, 1983
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Codice articolo E-0444868399-2-2
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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.
Product Description: Book by Kenneth Kunen
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Titolo: Set Theory An Introduction To Independence ...
Casa editrice: North Holland
Data di pubblicazione: 1983
Legatura: Rilegato
Condizione: Very good