this post was submitted on 09 Jun 2025
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[–] 5714@lemmy.dbzer0.com 7 points 4 days ago* (last edited 4 days ago) (2 children)

S¹ × [0, L]

~~I don't understand why a circle has one/a hole though.~~ I don't even know what a hole is.

Edit: Ok, circles might not have holes, they have interiors?

[–] agamemnonymous@sh.itjust.works 10 points 4 days ago

Make sure you're distinguishing between a circle and a disc.

[–] kogasa@programming.dev 4 points 3 days ago

What specifically constitutes a hole is somewhat ambiguous, but if you pull on the thread a bit, you'll probably agree that it's a topological quality and that homotopy groups and homology are good candidates. The most grounded way to approach the topic is with simplicial homology.