The difference between Open interval and Open rectangle

When used as nouns, open interval means an interval in the real number line which does not contain its supremum and infimum. if specified by a pair of real numbers, then it consists of all the points on the real line whose values lie strictly between those two real numbers, whereas open rectangle means a rectangle in the real plane which is an open set: i.e., which does not contain its edges. if the sides of the open rectangle are parallel to the plane's axes, then the open rectangle can be described as the cartesian product of two open intervals.

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