# Metric Space Distances and Radiuses

Let X = {A, B, C, D} with d(A, D) = 2, but all the other distances equal to 1. Check that d is a metric. Prove that the metric space X is not isometric to any subset of En for any n. Can you realise X as a subset of a sphere S2 of appropriate radius, with the spherical 'great circle' metric?

© SolutionLibrary Inc. solutionlibary.com December 4, 2020, 9:55 pm 9836dcf9d7 https://solutionlibrary.com/math/geometry-and-topology/metric-space-distances-and-radiuses-j6fi