Euclidean Topology

A metric topology induced by the Euclidean metric. In the Euclidean topology of the n-dimensional space R^n, the open sets are the unions of n-balls. On the real line this means unions of open intervals. The Euclidean topology is also called usual or ordinary topology.

See also

This entry contributed by Margherita Barile

Explore with Wolfram|Alpha

Cite this as:

Barile, Margherita. "Euclidean Topology." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/EuclideanTopology.html

Subject classifications