• 5714@lemmy.dbzer0.com
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    15 hours 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?

    • Kogasa@programming.dev
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      12 hours 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.