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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 5, Pages 1133–1144
DOI: https://doi.org/10.33048/smzh.2019.60.510 (Mi smj3137) 		 
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
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DOI: https://doi.org/10.33048/smzh.2019.60.510
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.
Funding agency Grant number
Czech Science Foundation 18-00960Y
Russian Foundation for Basic Research 17-01-00801_a
The first and third authors were supported by the Grant GAČR 18-00960Y. The second author was supported by the Russian Foundation for Basic Research (Grant 17-01-00801a).
Received: 12.02.2019
Revised: 04.03.2019
Accepted: 12.03.2019
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 5, Pages 886–895
DOI: https://doi.org/10.1134/S0037446619050100
Bibliographic databases:
Document Type: Article
UDC: 517.518+517.51
Language: Russian
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
Citation in format AMSBIB
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\paper Example of a smooth homeomorphism violating the Luzin $N^{-1}$ property
\jour Sibirsk. Mat. Zh.
\yr 2019
\vol 60
\issue 5
\pages 1133--1144
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\crossref{https://doi.org/10.33048/smzh.2019.60.510}
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\transl
\jour Siberian Math. J.
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\pages 886--895
\crossref{https://doi.org/10.1134/S0037446619050100}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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