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Eurasian Mathematical Journal, 2011, Volume 2, Number 3, Pages 147–149 (Mi emj68)  
Short communications

A compactness lemma for convex plane sets

M. N. Huxley

School of Mathematics, Cardiff University, Cardiff, Wales, Great Britain
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Abstract: Given a closed bounded convex plane set covered by a family of open sets, we show that there is a finite dissection of the convex set into convex subsets, each of which lies within some open set of the covering.
Keywords and phrases: compact, finite subcover, dissection, lattice points.
Received: 14.07.2011
Bibliographic databases:
Document Type: Article
MSC: 54D30, 52A10, 11P21
Language: English
Citation: M. N. Huxley, “A compactness lemma for convex plane sets”, Eurasian Math. J., 2:3 (2011), 147–149
Citation in format AMSBIB
\Bibitem{Hux11}
\by M.~N.~Huxley
\paper A compactness lemma for convex plane sets
\jour Eurasian Math. J.
\yr 2011
\vol 2
\issue 3
\pages 147--149
\mathnet{http://mi.mathnet.ru/emj68}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2910847}
\zmath{https://zbmath.org/?q=an:1256.54050}
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