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[-] 5714@lemmy.dbzer0.com 5 points 1 year ago* (last edited 1 year ago)

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 11 points 1 year ago

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

[-] kogasa@programming.dev 4 points 1 year 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.

this post was submitted on 09 Jun 2025
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