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susiesusiesu t1_j24onf2 wrote

it is not actually another hole. try flattening it (since it is a homeorphism, it won’t change the number of holes). it’s like saying a straw has two holes, one one each side. topologically, it is just false.

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Bastian_5123 t1_j24oswb wrote

You didn't do the exercise yourself you can't flatten in out because the tube gets in the way.

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susiesusiesu t1_j24p0kz wrote

oh, i misread your comment. i thought you meant that a pair of pants has three holes. you’re right, the mug has theee holes.

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