A counterexample to the generalized Banach theorem
HTML articles powered by AMS MathViewer
- by Włodzimierz Bzyl PDF
- Proc. Amer. Math. Soc. 89 (1983), 145-146 Request permission
Abstract:
We show that it is consistent that the family of Borel maps of class 2 differs from the family of pointwise limits of Borel maps of class 1. This gives an answer to a question raised by W. G. Fleissner.References
- William G. Fleissner, An axiom for nonseparable Borel theory, Trans. Amer. Math. Soc. 251 (1979), 309–328. MR 531982, DOI 10.1090/S0002-9947-1979-0531982-9 —, Current research on $Q$ sets, Janos Bolyai Colloq. on Topology, Budapest, 1978.
- William G. Fleissner, Roger W. Hansell, and Heikki J. K. Junnila, PMEA implies proposition $\textrm {P}$, Topology Appl. 13 (1982), no. 3, 255–262. MR 651508, DOI 10.1016/0166-8641(82)90034-7
- R. W. Hansell, On Borel mappings and Baire functions, Trans. Amer. Math. Soc. 194 (1974), 195–211. MR 362270, DOI 10.1090/S0002-9947-1974-0362270-7
- Arnold W. Miller, On the length of Borel hierarchies, Ann. Math. Logic 16 (1979), no. 3, 233–267. MR 548475, DOI 10.1016/0003-4843(79)90003-2
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 89 (1983), 145-146
- MSC: Primary 54H05; Secondary 03E35, 04A15
- DOI: https://doi.org/10.1090/S0002-9939-1983-0706529-0
- MathSciNet review: 706529