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Multiple Forcing [Mīkstie vāki]

  • Formāts: Paperback / softback, 146 pages, height x width x depth: 229x152x9 mm, weight: 220 g, Worked examples or Exercises
  • Sērija : Cambridge Tracts in Mathematics
  • Izdošanas datums: 25-Nov-2010
  • Izdevniecība: Cambridge University Press
  • ISBN-10: 0521063841
  • ISBN-13: 9780521063845
Citas grāmatas par šo tēmu:
  • Mīkstie vāki
  • Cena: 52,11 €
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  • Formāts: Paperback / softback, 146 pages, height x width x depth: 229x152x9 mm, weight: 220 g, Worked examples or Exercises
  • Sērija : Cambridge Tracts in Mathematics
  • Izdošanas datums: 25-Nov-2010
  • Izdevniecība: Cambridge University Press
  • ISBN-10: 0521063841
  • ISBN-13: 9780521063845
Citas grāmatas par šo tēmu:
In this 1987 text Professor Jech gives a unified treatment of the various forcing methods used in set theory, and presents their important applications. Product forcing, iterated forcing and proper forcing have proved powerful tools when studying the foundations of mathematics, for instance in consistency proofs.

In this 1987 text Professor Jech gives a unified treatment of the various forcing methods used in set theory, and presents their important applications. Product forcing, iterated forcing and proper forcing have proved powerful tools when studying the foundations of mathematics, for instance in consistency proofs. The book is based on graduate courses though some results are also included, making the book attractive to set theorists and logicians.

Papildus informācija

In this 1987 text Professor Jech gives a unified treatment of the various forcing methods used in set theory, and presents their important applications.
Preface vii
PART I Product forcing
1(42)
1 Forcing and Boolean-valued models
2(5)
2 Properties of the generic extension
7(6)
3 Examples of generic reals
13(10)
4 Product forcing
23(4)
5 Examples of product forcing
27(8)
6 The Levy collapse
35(3)
7 Product measure forcing
38(5)
PART II Iterated forcing
43(36)
1 Two step iteration
44(6)
2 Finite support iteration
50(3)
3 Martin's Axiom
53(3)
4 Suslin's problem
56(3)
5 Whitehead's problem
59(2)
6 Kaplansky's conjecture
61(6)
7 Countable support iteration
67(6)
8 Borel's conjecture
73(6)
PART III Proper forcing
79(52)
1 Stationary sets
80(9)
2 Infinite games on complete Boolean algebras
89(6)
3 Proper forcing
95(5)
4 Examples of proper forcing
100(3)
5 Iteration of proper forcing
103(8)
6 The Proper Forcing Axiom
111(4)
7 Martin's Maximum
115(11)
8 Well-founded iteration
126(5)
Bibliography 131(2)
Index of symbols 133(1)
Subject index 134(2)
Author index 136