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Math and science::Analysis::Tao::09. Continuous functions on R

Intervals (of the reals), definition

Let \( a, b \in \mathbb{R}^* \) be extended real numbers.

We define the closed interval \( [a, b] \) by

[...]

We define the half-open intervals \( [a, b) \) and \( (a, b] \) by

[...] and [...]

And we define the open interval \( (a, b) \) by

[...]

We call \( a \) the [...] and \( b \) the [...].