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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
Full-text PDF (270 kB) Citations (1)
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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∞-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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\by L.~Kleprl{\'\i}k, A.~O.~Molchanova, T.~Roskovec
\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
\mathnet{http://mi.mathnet.ru/smj3137}
\crossref{https://doi.org/10.33048/smzh.2019.60.510}
\elib{https://elibrary.ru/item.asp?id=41684734}
\transl
\jour Siberian Math. J.
\yr 2019
\vol 60
\issue 5
\pages 886--895
\crossref{https://doi.org/10.1134/S0037446619050100}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85073229626}
Linking options:
  • https://www.mathnet.ru/eng/smj3137
  • https://www.mathnet.ru/eng/smj/v60/i5/p1133
    • This publication is cited in the following 1 articles:
    1. A. Dolezalova, M. Hrubesova, T. Roskovec, “Hausdorff measure of critical set for Luzin N condition”, J. Math. Anal. Appl., 493:2 (2021), 124528  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    Full-text PDF :108
    References:48
    First page:6
     
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