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Descriptive set theory over hyperfinite sets
Journal of Symbolic Logic 54 (4):1167-1180 (1989)
Abstract
The separation, uniformization, and other properties of the Borel and projective hierarchies over hyperfinite sets are investigated and compared to the corresponding properties in classical descriptive set theory. The techniques used in this investigation also provide some results about countably determined sets and functions, as well as an improvement of an earlier theorem of Kunen and MillerLinks
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Citations of this work
Internal approach to external sets and universes.Vladimir Kanovei & Michael Reeken - 1995 - Studia Logica 55 (2):347 - 376.
From discrete to continuous time.H. Jerome Keisler - 1991 - Annals of Pure and Applied Logic 52 (1-2):99-141.
Isomorphism property in nonstandard extensions of theZFC universe.Vladimir Kanovei & Michael Reeken - 1997 - Annals of Pure and Applied Logic 88 (1):1-25.
Every Borel function is monotone Borel.Boško Živaljević - 1991 - Annals of Pure and Applied Logic 54 (1):87-99.
Some Ramsey-type theorems for countably determined sets.Josef Mlček & Pavol Zlatoš - 2002 - Archive for Mathematical Logic 41 (7):619-630.
References found in this work
A question of borel hyperdeterminacy.Nigel J. Cutland - 1984 - Mathematical Logic Quarterly 30 (19‐24):313-316.
A Question of Borel Hyperdeterminacy.Nigel J. Cutland - 1984 - Mathematical Logic Quarterly 30 (19-24):313-316.
Foundations of Infinitesimal Stochastic Analysis.K. D. Stroyan - 1988 - Journal of Symbolic Logic 53 (4):1261-1262.
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