A compactness lemma for convex plane sets

Martin Huxley

A compactness lemma for convex plane sets

Views: 28 / PDF downloads: 10

Authors

Martin Huxley

Keywords:

compact, finite subcover, dissection, lattice points

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.

Downloads

Published

2011-09-30

How to Cite

Huxley, M. (2011). A compactness lemma for convex plane sets. Eurasian Mathematical Journal, 2(3). Retrieved from https://emj.enu.kz/index.php/main/article/view/97