The axiom of determinateness and reduction principles in the analytical hierarchy

Martin, Donald A.

doi:10.1090/S0002-9904-1968-11995-0

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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The axiom of determinateness and reduction principles in the analytical hierarchy
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Bull. Amer. Math. Soc. 74 (1968), 687-689

References

J. W. Addison, Separation principles in the hierarchies of classical and effective descriptive set theory, Fund. Math. 46 (1959), 123–135. MR 131357, DOI 10.4064/fm-46-2-123-135
J. W. Addison and Yiannis N. Moschovakis, Some consequences of the axiom of definable determinateness, Proc. Nat. Acad. Sci. U.S.A. 59 (1968), 708–712. MR 221927, DOI 10.1073/pnas.59.3.708
David Blackwell, Infinite games and analytic sets, Proc. Nat. Acad. Sci. U.S.A. 58 (1967), 1836–1837. MR 221466, DOI 10.1073/pnas.58.5.1836
Jan Mycielski, On the axiom of determinateness, Fund. Math. 53 (1963/64), 205–224. MR 161787, DOI 10.4064/fm-53-2-205-224
Hartley Rogers Jr., Theory of recursive functions and effective computability, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1967. MR 0224462

Additional Information

Journal: Bull. Amer. Math. Soc. 74 (1968), 687-689
DOI: https://doi.org/10.1090/S0002-9904-1968-11995-0
MathSciNet review: 0227022