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Earlier quoted context omitted.
Just like Feynman said: Physics is like watching internet porn. Sure, it may have useful results, like ad revenue, but that's not why we do it
>Feynman said: Physics is like watching internet porn. The Internet existed when Feynman died in 1988, but Internet porn did not, at least not watchable (video) Internet porn.
Earlier quoted context omitted.
You are right, but I am pretty sure they just meant the inner tube ignoring the puncture for inflation. Usually people just use donut/bagel for an illustration of a torus. Not sure why they used inner tube here - maybe to make it clear it is just the surface?
A hollow inner tube with the puncture for inflation is topologically equivalent to a solid torus, if I understood correctly.
Another way to consider it is if you have a circle around the valve hole, you can't stretch that circle to be one of the two possible circles you could draw on a torus (around the 'trunk' and around centred on the donut-hole).
Anyway, I think they just chose a bad example, this was just where my mind went.
The following slides contain a more concrete description of the conjecture, its motivation and consequences: https://people.math.rochester.edu/faculty/doug/Talks/Glasgow...
I hate slide decks like these, where every page in the PDF contains one more bullet point than the last one. Maybe I'm particularly bad at this, but I spend way too long scanning each page for the new information. Is it impossible to configure LaTeX to only produce the final animation step as a completed page and skip the intermediate ones?