• Skip to primary navigation
  • Skip to content
  • Skip to footer
Paul Wintz
  • CV
  • Publications
    • Tools
    • Dictionary of Fine Distinctions
    • Writing Tips
    • LaTeX Macros
    • UAW 4811 Resources
    • Photography
    • Art
    1. Home
    2. /
    3. Examples
    4. /
    5. The open sets of $\reals$ (the unions of open intervals)

    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

    Collection: Examples

    Updated: November 8, 2026

    Previous Next
    • Follow:
    • GitHub
    • Google Scholar
    • ORCID
    • LinkedIn
    • Feed
    © 2026 Paul Wintz. Powered by Jekyll & Minimal Mistakes. [Site map]