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Optimal quality of exceptional points for the Lebesgue density theorem

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10105694" target="_blank" >RIV/00216208:11320/12:10105694 - isvavai.cz</a>

  • Result on the web

    <a href="http://www.springerlink.com/content/p461t32104786333/" target="_blank" >http://www.springerlink.com/content/p461t32104786333/</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s10474-011-0182-3" target="_blank" >10.1007/s10474-011-0182-3</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Optimal quality of exceptional points for the Lebesgue density theorem

  • Original language description

    In spite of the Lebesgue density theorem, there is a positive d such that, for every non-trivial measurable set S of real numbers, there is a point at which both the lower densities of S and of the complement of S are at least d. The problem of determining the supremum of possible values of this d was studied in a paper of V. I. Kolyada, as well as in some recent papers. We solve this problem in the present work.

  • 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%2F09%2F0067" target="_blank" >GA201/09/0067: Theory of real functions and descriptive set theory II</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2012

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Acta Mathematica Hungarica

  • ISSN

    0236-5294

  • e-ISSN

  • Volume of the periodical

    134

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    HU - HUNGARY

  • Number of pages

    60

  • Pages from-to

    209-268

  • UT code for WoS article

    000298851700001

  • EID of the result in the Scopus database