In one dimension, the interval is the closed unit interval, the interval is the open unit interval, and the intervals and are half-open unit intervals.
Unit Interval
See also
Interval, Real LineExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Unit Interval." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/UnitInterval.html