Covering the plane with sprays

James H. Schmerl

Fundamenta Mathematicae (2010)

  • Volume: 208, Issue: 3, page 263-272
  • ISSN: 0016-2736

Abstract

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For any three noncollinear points c₀,c₁,c₂ ∈ ℝ², there are sprays S₀,S₁,S₂ centered at c₀,c₁,c₂ that cover ℝ². This improves the result of de la Vega in which c₀,c₁,c₂ were required to be the vertices of an equilateral triangle.

How to cite

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James H. Schmerl. "Covering the plane with sprays." Fundamenta Mathematicae 208.3 (2010): 263-272. <http://eudml.org/doc/282961>.

@article{JamesH2010,
abstract = {For any three noncollinear points c₀,c₁,c₂ ∈ ℝ², there are sprays S₀,S₁,S₂ centered at c₀,c₁,c₂ that cover ℝ². This improves the result of de la Vega in which c₀,c₁,c₂ were required to be the vertices of an equilateral triangle.},
author = {James H. Schmerl},
journal = {Fundamenta Mathematicae},
keywords = {spray; covering the plane},
language = {eng},
number = {3},
pages = {263-272},
title = {Covering the plane with sprays},
url = {http://eudml.org/doc/282961},
volume = {208},
year = {2010},
}

TY - JOUR
AU - James H. Schmerl
TI - Covering the plane with sprays
JO - Fundamenta Mathematicae
PY - 2010
VL - 208
IS - 3
SP - 263
EP - 272
AB - For any three noncollinear points c₀,c₁,c₂ ∈ ℝ², there are sprays S₀,S₁,S₂ centered at c₀,c₁,c₂ that cover ℝ². This improves the result of de la Vega in which c₀,c₁,c₂ were required to be the vertices of an equilateral triangle.
LA - eng
KW - spray; covering the plane
UR - http://eudml.org/doc/282961
ER -

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