The Euclidean topology is a metric topology induced by the Euclidean metric. In the Euclidean topology
of the 
-dimensional
space 
,
the open sets are the unions of 
-balls. On the real
line this means unions of open intervals. The
Euclidean topology is also called usual or ordinary topology.
Euclidean Topology
See also
Euclidean, MetricThis entry contributed by Margherita Barile
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Cite this as:
Weisstein, Eric W., with contributions by Margherita Barile. "Euclidean Topology." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/EuclideanTopology.html