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Partially playful universes

  • Howard Becker
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 689)

Keywords

Ground Model Scale Property Winning Strategy Regular Cardinal Measurable Cardinal 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    F. R. Drake, Set Theory; An Introduction to Large Cardinals, North-Holland, Amsterdam, 1974.zbMATHGoogle Scholar
  2. [2]
    J. T. Green, Ph.D. Thesis, University of California, Berkeley, to appear.Google Scholar
  3. [3]
    T. J. Jech, Lectures in Set Theory with Particular Emphasis on the Method of Forcing, Lecture Notes in Math., 217, Springer, Berlin, 1971.zbMATHGoogle Scholar
  4. [4]
    A. S. Kechris, Ph.D. Thesis, University of California, Los Angeles, 1972.Google Scholar
  5. [5]
    A. S. Kechris, Measure and category in effective descriptive set theory, Ann. Math. Logic, 5 (1972/73), 337–384.MathSciNetCrossRefzbMATHGoogle Scholar
  6. [6]
    A. S. Kechris, The theory of countable analytical sets, Trans. Amer. Math. Soc., 202 (1975), 259–298.MathSciNetCrossRefzbMATHGoogle Scholar
  7. [7]
    A. S. Kechris, On a notion of smallness for subsets of the Baire space, Trans. Amer. Math. Soc., 229 (1977), 191–207.MathSciNetCrossRefzbMATHGoogle Scholar
  8. [8]
    A. S. Kechris and Y. N. Moschovakis, Notes on the Theory of Scales, Circulated multilithed manuscript, 1971. Reprinted in this volume.Google Scholar
  9. [9]
    R. Mansfield, Perfect subsets of definable sets of real numbers, Pacific J. Math., 35 (1970), 451–457.MathSciNetCrossRefzbMATHGoogle Scholar
  10. [10]
    D. A. Martin, Measurable cardinals and analytic games, Fundamenta Mathematicae, 66 (1970), 287–291.MathSciNetzbMATHGoogle Scholar
  11. [11]
    D. A. Martin, Δ 2n1 determinacy implies Σ2n1 determinacy, Circulated notes, 1973.Google Scholar
  12. [12]
    D. A. Martin, Borel determinacy, Ann. Math., 102 (1975), 363–371.MathSciNetCrossRefzbMATHGoogle Scholar
  13. [13]
    Y. N. Moschovakis, Determinacy and Prewellorderings of the Continuum, Math. Logic and Foundations of Set Theory (Proc. Internat. Colloq., Jerusalem, 1968), North-Holland, Amsterdam, 1970, 24–62.Google Scholar
  14. [14]
    Y. N. Moschovakis, Descriptive Set Theory, to appear.Google Scholar
  15. [15]
    J. C. Oxtoby, Measure and Category, Springer, New York, 1971.CrossRefzbMATHGoogle Scholar
  16. [16]
    J. R. Shoenfield, Mathematical Logic, Addison-Wesley, Reading, Mass., 1961.zbMATHGoogle Scholar
  17. [17]
    R. M. Solovay, On the Cardinality of Σ21 sets of reals, Foundations of Mathematics, Symposium papers commemorating the 60th birthday of Kurt Gödel, Springer-Verlag, 1966, 58–73.Google Scholar
  18. [18]
    R. M. Solovay, Measurable Cardinals and the Axiom of Determinateness, Lecture notes prepared in connection with the Summer Institute on Axiomatic Set Theory held at UCLA, Summer, 1967.Google Scholar
  19. [19]
    R. M. Solovay, A model of set theory in which every set is Lebesgue measurable, Ann. Math., 92 (1970), 1–56.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • Howard Becker
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaLos Angeles

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