/sci/ - Science & Math

someone familiar with the serre spectral sequence here? I have a question about the theorem about it.
Recall that it goes like this:
>Let (F, X, B) be a fibration with some extra condition
>then there is a spectral sequence that converges to the homology of X
>and the second page is blablabla
My question is now: Is there some implicit canonical filtration for H(X) or does this theorem mean "for every filtration of H(X), there is a spectral sequence with the above properties"?

What the fuck does this cartoon mean, /mg/?
More importantly, what does it say about us?

what's the deal with Grothendieck?