A note on distinct distance subsets

@article{Charalambides2013ANO,
  title={A note on distinct distance subsets},
  author={Marcos Charalambides},
  journal={Journal of Geometry},
  year={2013},
  volume={104},
  pages={439-442}
}
It is shown that given a set of N points in the plane, sphere or hyperbolic plane, there is a subset of size $${\gtrsim (N/\log N)^{1/3}}$$≳(N/logN)1/3 with all pairwise distances between points distinct. 
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