Measurable Chromatic Number of Spheres

Greg Malen

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Measurable Chromatic Number of Spheres

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arxiv 1412.2091 v1 pith:J73TCOF2 submitted 2014-12-05 math.CO math.MG

Measurable Chromatic Number of Spheres

Greg Malen This is my paper

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keywords chromaticmeasurablenumberradiispheresargumentsboundscolorings

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We examine the measurable chromatic number of distance colorings on the surface of 2-dimensional spheres of varying radii, showing in particular that similar arguments to those used to raise lower bounds in the plane work for all but a countable set of radii. Furthermore, we show that measurable chromatic number as a function of the radius, or more generally the curvature, is not monotonic.

Measurable Chromatic Number of Spheres

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