awesome-metric-spaces

A curated list of resources about metric spaces.

Let X be a set. A function d: X × X → R is called a distance on X if, for all x,y ∈ X there holds:

1. d(x,y) ≥ 0 (non-negativity)
2. d(x,y) = d(y,x) (symmetry)
3. d(x,x) = 0 (reflexivity)

A metric space (X,d) is a set X equipped with a distance d.

Resources

• Encyclopedia of Distances by Michel Marie Deza and Elena Deza, pdf
• Sam's String Metrics, archive
• http://infolab.stanford.edu/~ullman/mmds/ch3.pdf