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The standard Cantor function is subadditive

Author: Jozef Dobos
Journal: Proc. Amer. Math. Soc. 124 (1996), 3425-3426
MSC (1991): Primary 26D15
MathSciNet review: 1340384
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Abstract: In this paper the subadditivity of the Cantor function $\phi \colon[0,1]\to [0,1]$ is proved.

References [Enhancements On Off] (What's this?)

  • 1. Darst, R.B., Some Cantor sets and Cantor functions, Math. Mag. 45 (1972), 2--7. MR 46:311
  • 2. Matkowski, J. and Swiatkowski, T., On subadditive functions, Proc. Amer. Math. Soc. 119 (1993), 187--197. MR 93k:26002
  • 3. Richey, M., Mapping the Cantor set onto [0,1] : a new construction, preprint.
  • 4. Rosenbaum, R.A., Subadditive functions, Duke Math. J. 17 (1950), 227--247. MR 12:164a

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Additional Information

Jozef Dobos
Affiliation: Department of Mathematics, Technical University, 042 00 Košice, Slovakia

Keywords: Subadditive functions
Received by editor(s): September 2, 1994
Received by editor(s) in revised form: May 11, 1995
Communicated by: Andreas R. Blass
Article copyright: © Copyright 1996 American Mathematical Society

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