Abstract
It is shown that the difference between a Vitali–Bernstein selector and a partial Vitali–Bernstein selector can be of Lebesgue measure zero and of first Baire category. This result gives an answer to a question posed by G. Lazou.
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Georgian Mathematical Journal
Editor-in-Chief: Kiguradze, Ivan / Buchukuri, T.
Editorial Board: Kvinikadze, M. / Bantsuri, R. / Baues, Hans-Joachim / Besov, O.V. / Bojarski, B. / Duduchava, R. / Engelbert, Hans-Jürgen / Gamkrelidze, R. / Gubeladze, J. / Hirzebruch, F. / Inassaridze, Hvedri / Jibladze, M. / Kadeishvili, T. / Kegel, Otto H. / Kharazishvili, Alexander / Kharibegashvili, S. / Khmaladze, E. / Kiguradze, Tariel / Kokilashvili, V. / Krushkal, S. I. / Kurzweil, J. / Kwapien, S. / Lerche, Hans Rudolf / Mawhin, Jean / Ricci, P.E. / Tarieladze, V. / Triebel, Hans / Vakhania, N. / Zanolin, Fabio
IMPACT FACTOR 2018: 0.551
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- 1572-9176
On the difference between a Vitali–Bernstein selector and a partial Vitali–Bernstein selector
Published Online: 2016-08-30 | DOI: https://doi.org/10.1515/gmj-2016-0036
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Get Access to Full TextKeywords: Vitali set; Bernstein set; Hamel basis; selector; partial selector
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About the article
Received: 2015-01-08
Accepted: 2015-06-03
Published Online: 2016-08-30
Published in Print: 2016-09-01
Citation Information: Georgian Mathematical Journal, Volume 23, Issue 3, Pages 387–391, ISSN (Online) 1572-9176, ISSN (Print) 1072-947X, DOI: https://doi.org/10.1515/gmj-2016-0036.
© 2016 by De Gruyter.
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