The open sets of $\reals$ (the unions of open intervals) Example · Undergraduate Terms TermThis exampleWhy topology ✓ The open sets of $\reals$ form a topology because unions and finite intersections of open sets are open. σ-algebra ✗ The complement of $(0, 1)$ is not open. Distinctions using this example Topology vs. σ-algebra All examples · All distinctions · All definitions Previous Next