A totally ordered Baire space for which Blumberg’s theorem fails
HTML articles powered by AMS MathViewer
- by Ronnie Levy PDF
- Proc. Amer. Math. Soc. 41 (1973), 304 Request permission
Erratum: Proc. Amer. Math. Soc. 45 (1974), 469.
Abstract:
An elementary example of a totally ordered nonBlumberg Baire space is given.References
- Henry Blumberg, New properties of all real functions, Trans. Amer. Math. Soc. 24 (1922), no. 2, 113–128. MR 1501216, DOI 10.1090/S0002-9947-1922-1501216-9
- J. C. Bradford and Casper Goffman, Metric spaces in which Blumberg’s theorem holds, Proc. Amer. Math. Soc. 11 (1960), 667–670. MR 146310, DOI 10.1090/S0002-9939-1960-0146310-1
- Leonard Gillman and Meyer Jerison, Rings of continuous functions, The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London-New York, 1960. MR 0116199
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 41 (1973), 304
- MSC: Primary 54C30
- DOI: https://doi.org/10.1090/S0002-9939-1973-0324630-4
- MathSciNet review: 0324630