Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{KleMolRos19}
\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}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000488948900010}
\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:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024