metric space
set equipped with a metric (distance function)
continuum
nonempty compact connected metric space in point-set topology
topologist's sine curve
connected but not path-connected space; the graph of the function sin(1/𝑥) on the half-open interval (0,1] together with the origin
ultrametric space
a type of metric space in which the triangle inequality is replaced by a stronger inequality using max in place of addition
injective metric space
type of metric space
Alexandrov space
geometry concept
convex metric space
metric space with the property any segment joining two points in that space has other points in it besides the endpoints
complete metric space
metric space in which cauchy sequence converges to an element of the space