/sci/ - Science & Math

>>12148449
Excluding the boundary spheres, the characteristic maps of the cells are homeomorphisms. Whatever this [math]\pi^{-1}(N)[/math] looks like, it deformation retracting to [math]X_{p-1}[/math] should guarantee similar activity for its preimage and the boundary sphere in each of the balls. Then do as the other anon said to obtain the horizontal isomorphism. I'm not completely sure, though.

>>11953140
Do some big exercises where you build the proof of a big theorem piece by piece. Then apply similar methods to whatever your research is about. You start with what you already know and start extending that by checking what consequences and examples you have, what happens if you add some assumptions, where it fails etc. Then you end up having some nice result that actually follows from these little ones after you put the puzzle pieces together and get your favourite painting or some cute animal photo.

>>11825183
Most likely yes. However, this remains unsolved, because I will never solve anything anyway.