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