Let A a subset of a pseudometric space (X,d). The diameter of A is defined to be


whenever the supremum exists. If the supremum doesn’t exist, diameter of A is defined to be infinite.

Having finite diameter is not a topological invariantPlanetmathPlanetmath.

Title diameter
Canonical name Diameter
Date of creation 2013-03-22 12:20:36
Last modified on 2013-03-22 12:20:36
Owner drini (3)
Last modified by drini (3)
Numerical id 4
Author drini (3)
Entry type Definition
Classification msc 54-00
Related topic Pi