A remark about separation of $K$-analytic sets in the product spaces
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- by Leszek Piątkiewicz PDF
- Proc. Amer. Math. Soc. 93 (1985), 363-366 Request permission
Abstract:
A direct proof, using only "classical" notions, of a well-known theorem about approximation of coanalytic sets in the plane with "large" sections by Borel sets is given. A generalization of this theorem for hereditarily $K$-analytic spaces is also considered.References
- Dimitri P. Bertsekas and Steven E. Shreve, Stochastic optimal control, Mathematics in Science and Engineering, vol. 139, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1978. The discrete time case. MR 511544
- Douglas Cenzer and R. Daniel Mauldin, Inductive definability: measure and category, Adv. in Math. 38 (1980), no. 1, 55–90. MR 594994, DOI 10.1016/0001-8708(80)90057-2 C. Dellacherie, Un cours sur les ensambles analytiques, Analytic Sets (C. A. Rogers et al., eds.), Academic Press, London, 1980.
- Alexander S. Kechris, Measure and category in effective descriptive set theory, Ann. Math. Logic 5 (1972/73), 337–384. MR 369072, DOI 10.1016/0003-4843(73)90012-0
- K. Kuratowski, Topology. Vol. I, Academic Press, New York-London; Państwowe Wydawnictwo Naukowe [Polish Scientific Publishers], Warsaw, 1966. New edition, revised and augmented; Translated from the French by J. Jaworowski. MR 0217751
- Analytic sets, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], London-New York, 1980. Lectures delivered at a Conference held at University College, University of London, London, July 16–29, 1978. MR 608794
- C. A. Rogers and R. C. Willmott, On the uniformization of sets in topological spaces, Acta Math. 120 (1968), 1–52. MR 237733, DOI 10.1007/BF02394605
- Robert Vaught, Invariant sets in topology and logic, Fund. Math. 82 (1974/75), 269–294. MR 363912, DOI 10.4064/fm-82-3-269-294
Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 363-366
- MSC: Primary 54H05; Secondary 04A15, 28A05
- DOI: https://doi.org/10.1090/S0002-9939-1985-0770555-8
- MathSciNet review: 770555