@TheWookieDavid@BowToChris@Simmy16242170@Fish_CTO i do not call a torus a donut ever, except maybe when explaining the shape to someone for the first time .
no i don't bother correcting people on it because it's not usually relevant
yes i think the original joke is funny
@AtheyBng@BowToChris@Simmy16242170@Fish_CTO no, a sphere (specifically, the surface is the sphere so it is "hollow") is never able to be homotopied to a point . the 0D sphere can maybe be thought of as a point but that isn't the intended topic here
@TheWookieDavid@BowToChris@Simmy16242170@Fish_CTO a sphere is hollow. I consider donut a sphere since inside is fluffy. outside of infinite dimensions, the best analogy for the incontractibility of a sphere is that it has to rip itself to shrink to a point. for a ball, no such rip occurs
@summer_prodigy@BowToChris@Simmy16242170@Fish_CTO Yeah, when we first discussed the axiom of choice in my topology class (in regards to the construction of the product topology) my lecturer said "if we walk into a shop with uncountably many jars of candy that can have a finite or infinite amount of candy, can we pick a jar
@SierraHotel28@mathandcobb I disagree actually, I think the RH is one of the easiest popular problems (keeping in mind, this is still an extraordinary level of difficulty and I am talking about relative difficulty)
@Richarduels@mathandcobb not to mention that the paper uses these positive and negative infinities (which is fine on the real plane (or at least, less questionable)) but a disaster on the complex plane.
@Richarduels@mathandcobb yes this was precisely my point, perhaps the term positive was poorly used here (i meant it in the sense that there is no "negative infinity")
when we deal with this infinity, if we have that the function is differentiable at infinity, there are problems. if it is not, problems.