Email this article Example of a Smooth Homeomorphism Violating the Luzin N−1 Property
- Authors: Kleprlík L.1, Molchanova A.O.2,3, Roskovec T.4,1
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Affiliations:
- Czech Technical University in Prague
- Sobolev Institute of Mathematics
- University of Vienna
- University of South Bohemia
- Issue: Vol 60, No 5 (2019)
- Pages: 886-895
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172659
- DOI: https://doi.org/10.1134/S0037446619050100
- ID: 172659
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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.
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About the authors
L. Kleprlík
Czech Technical University in Prague
Author for correspondence.
Email: kleprlud@fit.cvut.cz
Czech Republic, Prague
A. O. Molchanova
Sobolev Institute of Mathematics; University of Vienna
Author for correspondence.
Email: a.molchanova@math.nsc.ru
Russian Federation, Novosibirsk; Vienna
T. Roskovec
University of South Bohemia; Czech Technical University in Prague
Author for correspondence.
Email: troskovec@ef.jcu.cz
Czech Republic, České Budějovice; Prague
