/sci/ - Science & Math

>>12184967
If I understood your question correctly, you were asking why does the lift exist. In the theorem you have a closed cofibration and weak equivalence on the left side and a fibration on the right side.

>>11777399
As the other anon said, it's a formula relating a sum of powers to a product. When you some day have to write stuff that involves Greek letters, it is good to know which letter is which, as the code will then simply be \letter or \Letter. Also, notice how here you have the Greek S for sum and the Greek P for product. Clever, don't you think? https://en.wikipedia.org/wiki/Greek_alphabet

>>11777418
My supervisor's rule of the thumb is that you shouldn't make the reader hate you. Can you for example show one of your proofs to us. We won't bully (too hard).

>>11727222
>I actually don't like this sort of theorem. Or not even the field, really.
Neither do I, and the same holds for analysis. Yet I must still say I feel a lot of respect to people like Lebesgue for doing the stuff I would never imagine being able to do (or interested in, but that is irrelevant).
>where something you'd not have given much attention becomes memorable simple because you discovered it yourself or because it helped you
Yep. It is the act of getting your hands dirty that really teaches the stuff, I think. A really simple example would be when I needed to get a map [math]B(\mathbb{Z}/n\mathbb{Z})\to \mathbb{C}P^\infty[/math]. I'm fairly sure I would have had to spend a lot of time on that if I hadn't discovered [math]\mathbb{C}P^\infty \simeq BS^1[/math] by playing around with stuff. This is also why I always tell people to prove the identities when they complain about logarithms or trigonometric functions.

>>11727236
>>11727251
Yep, and when you are no longer a happy-go-lucky youngling (under 24) you try to forget your age to protect yourself from pain.