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D.I. Saveliev, V.B. Shehtman

Axiomatic set theory

Syllabus

  1. Transitive models.
  2. Constructible sets.
  3. Forcing.
  4. Independence of Continuum Hypothesis.
  5. Independence of Axiom of Choice.
  6. Inaccessible cardinals. Measurable cardinals.

Bibliography

  1. M. Fitting, R. Smullyan. Set theory and the continuum problem. Oxford University Press, 1996.
  2. T. Jech. Set theory. Springer, 2003.
  3. A. Levy. Basic set theory. Springer, 1979.
  4. C. Kuratowski, A. Mostowski. Set theory. Amsterdam, 1968.
  5. D. van Dalen, H.C. Doets, H. de Swart. Sets: naive, axiomatic and applied. Pergamon Press, 1978.
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