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Published 1981 | public
Book Section - Chapter

The axiom of determinacy and the prewellordering property

Abstract

Let ω = (0,1,2,...) be the set of natural numbers and R = ω^ω the set of all functions from ω into ω, or for simplicity reals. A product space is of the form X = X_1 x X_2 x ... x X_k, where X_1 = ω or R. Subsets of these product spaces are called pointsets. A boldface pointclass is a class of pointsets closed under continuous preimages and containing all clopen pointsets (in all product spaces).

Additional Information

© 1981 Springer. Partially supported by NSF Grant MCS79-20465. Tbe author is an A.P. Sloan Foundation Fellow. Partially supported by NSF Grant MCS77-01640. Partially supported by NSF Grant MCS78-02989.

Additional details

Created:
August 19, 2023
Modified:
March 5, 2024