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
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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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
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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
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