ACIT4330-Page/content/Definitions/Least Upper Bound Property.md
2025-03-01 14:26:36 +01:00

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$$X \subset \mathbb{R}$$
$$\exists c \in \mathbb{R} \; \text{such that}$$
$$x \lt c, \forall x \in X$$
$$sup(\langle 0, 1 \rangle) = 1 \notin \langle 0, 1 \rangle$$
$$sup(\langle 0, 1 ] \,)$$
$$sup(\mathbb{R}) = \infty$$