Short communications

A compactness lemma for convex plane sets

M. N. Huxley

School of Mathematics, Cardiff University, Cardiff, Wales, Great Britain

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.

MSC: 54D30, 52A10, 11P21

Received: 14.07.2011

Language: English

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