From PL to Sheaf Theory (Rock to Bach)

Abstract

We modern mathematicians often tend to hide the primitive beginnings of our knowledge, much to the detriment of beginning students. Of course, we are each entitled to have our own preference in music. But let’s not forget that to the original geometers, homology was not a derived functor on the category of sheaves, nor a functor from spaces to groups satisfying axioms 1–7. Homology was space itself, space with multiplicities.

Notes by Nathan Habegger