An example of a bijective map that has an undimensional graph
Kukulnyak D. I.
1
1 Chernivtsi National University named after Yuriy Fedkovych, Chernivtsi, 58002, Ukraine
Keywords:
a bijective map, undimensional graph
Abstract
An example of the bijective mapping $b: [0, 1] → [0, 1]$ which has Lebesgue unmeasurable graph is constructed.
References
[1] Kukulnyak D. I., Maslyuchenko V. K. Differently integrable Riemann functions // Nauk. visnyk Chernivtsi un-tu: 3b. nauk. prac. Vol. 288. Mathematics. — Chernivtsi: Ruta, 2006. — P. 74-76.
[2] Sierpinski W. Sur un probléme concernant les ensembles mesurable surficiellement // Fund. Math. - 1920. - 1 . - P. 112-115.
[3] Gelbaum B. Olmsted J. Counterexamples in Analysis. M.: Mir, 1967. - 252 p.
[4] Natanson I. P. Theory of functions of a real variable. - M.: Nauka, 1974. - 480 p.
[5] Maslyuchenko V. K. Elements of set theory. - Chernivtsi: Ruta, 2002. - 132 p.
Cite
- ACS Style
- Kukulnyak , D.I. An example of a bijective map that has an undimensional graph. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Kukulnyak DI. An example of a bijective map that has an undimensional graph. Bukovinian Mathematical Journal. 2018; 1(336).
- Chicago/Turabian Style
- D. I. Kukulnyak . 2018. "An example of a bijective map that has an undimensional graph". Bukovinian Mathematical Journal. 1 no. 336.
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