Example of a Smooth Homeomorphism Violating the Luzin N−1 Property
- Авторлар: Kleprlík L.1, Molchanova A.2,3, Roskovec T.4,1
-
Мекемелер:
- Czech Technical University in Prague
- Sobolev Institute of Mathematics
- University of Vienna
- University of South Bohemia
- Шығарылым: Том 60, № 5 (2019)
- Беттер: 886-895
- Бөлім: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172659
- DOI: https://doi.org/10.1134/S0037446619050100
- ID: 172659
Дәйексөз келтіру
Аннотация
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.
Негізгі сөздер
Авторлар туралы
L. Kleprlík
Czech Technical University in Prague
Хат алмасуға жауапты Автор.
Email: kleprlud@fit.cvut.cz
Чехия, Prague
A. Molchanova
Sobolev Institute of Mathematics; University of Vienna
Хат алмасуға жауапты Автор.
Email: a.molchanova@math.nsc.ru
Ресей, Novosibirsk; Vienna
T. Roskovec
University of South Bohemia; Czech Technical University in Prague
Хат алмасуға жауапты Автор.
Email: troskovec@ef.jcu.cz
Чехия, České Budějovice; Prague
![](/img/style/loading.gif)