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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2011, Issue 4, Pages 38–39
(Mi vyurm218)
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This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
The example of the bijective mapping $f: \mathbb{R}\to\mathbb{R}$ such that $f$ is everywhere discontinuous, but an inverse of the $f$ is continuous at a countable set of points
A. Yu. Evnin
South Ural State University
Abstract:
In this paper we consider the example of the bijective mapping $f: \mathbb{R}\to\mathbb{R}$ such that $f$ is everywhere discontinuous, but an inverse of the $f$ is continuous at a countable set of points.
Keywords:
everywhere discontinuous function, an inverse function.
Received: 30.01.2011
Citation:
A. Yu. Evnin, “The example of the bijective mapping $f: \mathbb{R}\to\mathbb{R}$ such that $f$ is everywhere discontinuous, but an inverse of the $f$ is continuous at a countable set of points”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2011, no. 4, 38–39
Linking options:
https://www.mathnet.ru/eng/vyurm218 https://www.mathnet.ru/eng/vyurm/y2011/i4/p38
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| Abstract page: | 164 | | Full-text PDF : | 181 | | References: | 45 |
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