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
CiteScore 2018: 0.52
SCImago Journal Rank (SJR) 2018: 0.320
Source Normalized Impact per Paper (SNIP) 2018: 0.711
Mathematical Citation Quotient (MCQ) 2018: 0.27
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Get Access to Full TextThe paper is concerned with measurable and nonmeasurable subsets of the unit square (unit cube) whose linear (planar) sections have constant linear (planar) Lebesgue measure. Some properties of such subsets are studied and their connections with the existence of iterated integrals are pointed out.
Keywords: Linear (planar) section of a set; measurable set; Fubini's theorem; nonmeasurable set; Sierpiński's partition; iterated integral
Received: 2011-05-24
Published Online: 2012-05-30
Published in Print: 2012-06-01
Citation Information: Georgian Mathematical Journal, Volume 19, Issue 2, Pages 247–258, ISSN (Online) 1572-9176, ISSN (Print) 1072-947X, DOI: https://doi.org/10.1515/gmj-2012-0009.
© 2012 by Walter de Gruyter Berlin Boston.
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