Geodesic
Covering the plane with sprays
James H. Schmerl1
1 Department of Mathematics University of Connecticut Storrs, CT 06269-3009, U.S.A.
Fundamenta Mathematicae, Tome 208 (2010) no. 3, pp. 263-272.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

For any three noncollinear points $c_0,c_1,c_2 \in \mathbb R^2$, there are sprays $S_0,S_1,S_2$ centered at $c_0,c_1,c_2$ that cover $\mathbb R^2$. This improves the result of de la Vega in which $c_0,c_1,c_2$ were required to be the vertices of an equilateral triangle.
DOI : 10.4064/fm208-3-3
Keywords: three noncollinear points mathbb there sprays centered cover mathbb improves result vega which required vertices equilateral triangle

James H. Schmerl 1

1 Department of Mathematics University of Connecticut Storrs, CT 06269-3009, U.S.A. 
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James H. Schmerl. Covering the plane with sprays. Fundamenta Mathematicae, Tome 208 (2010) no. 3, pp. 263-272. doi : 10.4064/fm208-3-3. http://geodesic.mathdoc.fr/articles/10.4064/fm208-3-3/

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