i feel rather unwell
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introducing the topologist’s sine curve, which is connected but not locally connected or path connected. and also looks like this
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And I read (some of) Winning Ways
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nice
imagine this but also there’s a point at the origin
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it’s sometimes defined as also having the whole line from (0, -1) to (0, 1), in which case it’s compact. but still not locally connected or path connected
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imagine this but dragons
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I have no idea what the topology terms mean thbthbthbthbthtbhtbhtbhtbhtbhtb
me when i see wires run along the door frame
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i never actually learned what locally connected means but all the other stuff you learn in a point-set topology class
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real analysis even borrows compact. as a treat
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nyaaaaaaa I just started real but it’s only Real 1 so IDK how much we cover
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They finally let you into the real math classes instead of the fake-ass ones they’ve been putitng in front of you this whole time?
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