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A compactness lemma for convex plane sets

Huxley, Martin Neil 2011. A compactness lemma for convex plane sets. Eurasian Mathematical Journal 2 (3) , pp. 147-149.

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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. This lemma embodies an idea used in the investigation of the uniform distribution of configurations of lattice points in the plane.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: compact; finite subcover; dissection; lattice points
Publisher: L. N. Gumilyov Eurasian National University
ISSN: 2077-9879
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Last Modified: 04 Jun 2017 03:01

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