Equilateral triangles in subsets of ℝd of large Hausdorff dimension
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DOI: 10.1007/s11856-019-1848-8
Abstract: We prove that subsets of ℝd, d ≥ 4 of large enough Hausdorff dimensions contain vertices of an equilateral triangle. It is known that additional hypotheses are needed to assure the existence of equilateral triangles… read more here.
Keywords: equilateral triangles; subsets large; triangles subsets; hausdorff dimension ... See more keywords