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A converse of the Arsenin-Kunugui theorem on Borel sets with sigma-compact sections

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F00%3A00001296" target="_blank" >RIV/00216208:11320/00:00001296 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    A converse of the Arsenin-Kunugui theorem on Borel sets with sigma-compact sections

  • Original language description

    Let f be a Borel measurable mapping of a Luzin space L onto a metric space M such that f(F) is Borel in M if F is closed in L. Then f^{-1}(y) is a K-sigma set for all, except for countably many, y in M.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA201%2F97%2F0216" target="_blank" >GA201/97/0216: Mappings and covering properties of topological structures</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2000

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Fundamenta Mathematicae

  • ISSN

    0016-2736

  • e-ISSN

  • Volume of the periodical

    165

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    PL - POLAND

  • Number of pages

    12

  • Pages from-to

  • UT code for WoS article

  • EID of the result in the Scopus database