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Example of a Smooth homeomorphism violating the Luzin N-1 property

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12510%2F19%3A43899302" target="_blank" >RIV/60076658:12510/19:43899302 - isvavai.cz</a>

  • Alternative codes found

    RIV/68407700:21240/19:00335531

  • Result on the web

    <a href="https://link.springer.com/article/10.1134/S0037446619050100" target="_blank" >https://link.springer.com/article/10.1134/S0037446619050100</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1134/S0037446619050100" target="_blank" >10.1134/S0037446619050100</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Example of a Smooth homeomorphism violating the Luzin N-1 property

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GJ18-00960Y" target="_blank" >GJ18-00960Y: Selected topics in non-linear functional analysis and approximation theory</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2019

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Siberian Mathematical Journal

  • ISSN

    0037-4466

  • e-ISSN

  • Volume of the periodical

    60

  • Issue of the periodical within the volume

    5

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    12

  • Pages from-to

    "1133–1144"

  • UT code for WoS article

    000488948900010

  • EID of the result in the Scopus database

    2-s2.0-85073229626