I have now newly written a detailed “Idea” section at the nLab entry on cohomology, which should give a helpful overview on the observation that and how every flavor of cohomology ever considered is nothing but the study of connected components in the hom-spaces of some $(\infty,1)$-topos.

I have now newly written a detailed “Idea” section at the nLab entry on cohomology, which should give a helpful overview on the observation that and how every flavor of cohomology ever considered is nothing but the study of connected components in the hom-spaces of some $(\infty,1)$-topos.

I have now newly written a detailed "Idea"-section at the nLab entry on cohomology, which should give a helpful overview on the observation that and how every flavor of cohomology ever considered is nothing but the study of connected components in the hom-spaces of some (oo,1)-topos:

nLab:Cohomology -- Idea .

I have now newly written a detailed “Idea” section at the nLab entry on cohomology, which should give a helpful overview on the observation that and how every flavor of cohomology ever considered is nothing but the study of connected components in the hom-spaces of some $(\infty,1)$-topos.