A Coloring Problem on R2 Equivalent to the Continuum Hypoth-esis by Robert Nielsen ’25
Wed, November 13th, 2024
1:00 pm - 1:50 pm
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A Coloring Problem on R2 Equivalent to the Continuum Hypoth-esis by Robert Nielsen ’25, Wednesday November 13, 1:00 – 1:50pm, North Science Building 113, Wachenheim, Mathematics Colloquium
Abstract: Is there an infinite set with cardinality between |N| and |R|? The Continuum Hypothesis, as yet unproven, says no. Is there a way to color the points of R2 with countably many colors such that no right tri-angles with vertices on the same color exist ? Surprisingly, this seemingly unrelated problem is equivalent to the Continuum Hypothesis. My talk shows their equivalence.