Definition:Real Interval/Definition 1
Jump to navigation
Jump to search
Definition 1
A (real) interval is a subset $I$ of the real numbers such that:
- $\forall x, y \in I: \forall z \in \R : \paren {x \le z \le y \implies z \in I}$
Also see
Sources
- 1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach ... (previous) ... (next): $\S 2$: Continuum Property: $\S 2.9$: Intervals