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This article is cited in 1 scientific paper (total in 1 paper)
Example of a smooth homeomorphism violating the Luzin $N^{-1}$ property
L. Kleprlíka, A. O. Molchanovabc, T. Roskovecda a Czech Technical University in Prague, Prague, Czech Republic
b Sobolev Institute of Mathematics, Novosibirsk, Russia
c University of Vienna, Vienna, Austria
d University of South Bohemia, České Budějovice, Czech Republic
Abstract:
This paper discusses some results concerning the validity of the Luzin $N$ and $N^{-1}$ properties for homeomorphisms. Also, we present a counterexample in the form of a $C^{\infty}$-homeomorphism that violates the $N^{-1}$ property.
Keywords:
Luzin property, smooth homeomorphism.
Received: 12.02.2019 Revised: 04.03.2019 Accepted: 12.03.2019
Citation:
L. Kleprlík, A. O. Molchanova, T. Roskovec, “Example of a smooth homeomorphism violating the Luzin $N^{-1}$ property”, Sibirsk. Mat. Zh., 60:5 (2019), 1133–1144; Siberian Math. J., 60:5 (2019), 886–895
Linking options:
https://www.mathnet.ru/eng/smj3137 https://www.mathnet.ru/eng/smj/v60/i5/p1133
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Abstract page: | 214 | Full-text PDF : | 90 | References: | 29 | First page: | 6 |
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