Definition:Real Interval/Singleton
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Definition
Let $a, b \in \R$.
Consider the closed interval $\closedint a b \subseteq \R$.
When $a = b$:
- $\closedint a b = \closedint a a = \set {x \in \R: a \le x \le a} = \set a$
Such an interval is sometimes referred to as a singleton interval.
Sources
- 1975: W.A. Sutherland: Introduction to Metric and Topological Spaces ... (previous) ... (next): Notation and Terminology