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Set Theory An Introduction To Independence Proofs

Af: K. Kunen Engelsk Hardback

Set Theory An Introduction To Independence Proofs

Af: K. Kunen Engelsk Hardback
Tjek vores konkurrenters priser
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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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.
Produktdetaljer
Sprog: Engelsk
Sider: 330
ISBN-13: 9780444868398
Indbinding: Hardback
Udgave:
ISBN-10: 0444868399
Kategori: Mængdelære
Udg. Dato: 1 dec 1983
Længde: 20mm
Bredde: 143mm
Højde: 216mm
Forlag: Elsevier Science & Technology
Oplagsdato: 1 dec 1983
Forfatter(e): K. Kunen
Forfatter(e) K. Kunen


Kategori Mængdelære


ISBN-13 9780444868398


Sprog Engelsk


Indbinding Hardback


Sider 330


Udgave


Længde 20mm


Bredde 143mm


Højde 216mm


Udg. Dato 1 dec 1983


Oplagsdato 1 dec 1983


Forlag Elsevier Science & Technology

Kategori sammenhænge