this post was submitted on 09 Mar 2024
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[–] [email protected] 17 points 8 months ago (1 children)

Topology: no, a set being open doesn't imply that it is closed. What if it's both? We call it clopen. Moving on.

[–] [email protected] 1 points 8 months ago* (last edited 8 months ago)

Interesting. That’s not how I was taught (different time, different language). A set that has some boundary points not being part of a set is open. Otherwise it is closed. It was binary definition. A 1D-sphere (a circle) was classified as a closed set. No boundary. But I looked in google and now it is different.