05990925

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05990925 Lengv\'arszky, Zsolt Pach, P\'eter P\'al A note on systems of rectangular islands: the continuous case. Acta Sci. Math. 77, No. 1-2, 27-34 (2011). 2011 Bolyai Institute, University of Szeged, Szeged EN maximal systems of islands continuum laminar system In this nice paper the authors extend the concept of systems of rectangular islands, that was introduced for the discrete case (i.e. in which the vertices of the rectangles have integer coordinates), to the continuous case (in which the rectangles are allowed to have non-integer coordinates). The authors give an elegant proof of the fact that in the continuous case the size of maximal systems of islands is either countable or continuum. Furthermore, the authors provide examples of both countable and continuum systems and corresponding height functions. Herman J. Tiersma (Den Haag)