On some problem of Sierpiński and Ruziewicz concerning the superposition of measurable functions. Microscopic Hamel basis

In: Tatra Mountains Mathematical Publications, vol. 58, no. 1

Aleksandra Karasińska - Elżbieta Wagner-Bojakowska

Details:

Year, pages: 2014, 91 - 99

Keywords:

microscopic sets, nullsets, sets of the first category, sets having the Baire property, Lusin set, Hamel basis.

About article:

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.

How to cite:

ISO 690:

Karasińska, A., Wagner-Bojakowska, E. 2014. On some problem of Sierpiński and Ruziewicz concerning the superposition of measurable functions. Microscopic Hamel basis. In Tatra Mountains Mathematical Publications, vol. 58, no.1, pp. 91-99. 1210-3195.

APA:

Karasińska, A., Wagner-Bojakowska, E. (2014). On some problem of Sierpiński and Ruziewicz concerning the superposition of measurable functions. Microscopic Hamel basis. Tatra Mountains Mathematical Publications, 58(1), 91-99. 1210-3195.