The standard Cantor function is subadditive
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- by Jozef Doboš PDF
- Proc. Amer. Math. Soc. 124 (1996), 3425-3426 Request permission
Abstract:
In this paper the subadditivity of the Cantor function $\phi \colon [0,1]\to [0,1]$ is proved.References
- R. B. Darst, Some Cantor sets and Cantor functions, Math. Mag. 45 (1972), 2–7. MR 301153, DOI 10.2307/2688371
- Janusz Matkowski and Tadeusz Świątkowski, On subadditive functions, Proc. Amer. Math. Soc. 119 (1993), no. 1, 187–197. MR 1176072, DOI 10.1090/S0002-9939-1993-1176072-2
- Richey, M., Mapping the Cantor set onto [0,1] : a new construction, preprint.
- Charles Hopkins, Rings with minimal condition for left ideals, Ann. of Math. (2) 40 (1939), 712–730. MR 12, DOI 10.2307/1968951
Additional Information
- Jozef Doboš
- Affiliation: Department of Mathematics, Technical University, 042 00 Košice, Slovakia
- Email: dobos@ccsun.tuke.sk
- Received by editor(s): September 2, 1994
- Received by editor(s) in revised form: May 11, 1995
- Communicated by: Andreas R. Blass
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 3425-3426
- MSC (1991): Primary 26D15
- DOI: https://doi.org/10.1090/S0002-9939-96-03440-5
- MathSciNet review: 1340384