On some Problem of Sierpiński and Ruziewicz Concerning the Superposition of Measurable Functions. Microscopic Hamel Basis
oraz
15 sie 2014
O artykule
Data publikacji: 15 sie 2014
Zakres stron: 91 - 99
Otrzymano: 28 lis 2013
DOI: https://doi.org/10.2478/tmmp-2014-0008
Słowa kluczowe
© 2014
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
S. Ruziewicz and W. Sierpiński proved that each function f : ℝ → ℝ can be represented as a superposition of two measurable functions. Here, a strengthening of this theorem is given. The properties of Lusin set and microscopic Hamel bases are considered