Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

The standard Cantor function is subadditive

Author(s): 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:

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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