• @[email protected]
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    fedilink
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    2412 days ago

    A circle is a plane folded on itself so the answer is technically 0 holes. But first what is a hole?

    • @[email protected]
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      fedilink
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      11 days ago

      a sphere is a plane folded in on itself, and spheres have no (one-dimensional) holes. but spheres do have a two-dimensional hole, which is basically a way of saying they’re hollow.

      a circle is a line folded in on itself, and circles have one (one-dimensional) hole.

      edit: the claim that circles and straws are homotopic is basically a fancy way of saying: “if you place a straw upright on a table and flatten it by smashing your hand down on it, you will end up with a circle.”