Abstract:
Let $T$ be the Grothendieck topology and $\mathfrak A$ a sheaf of nonabelian groups on it. We can define the one-dimensional cohomology of $\mathfrak A$ either as the Čech cohomology or as the set of $\mathfrak A$-sheaves locally isomorphic to $\mathfrak A$. In this note we put forward a construction which gives rise to a sequence of cohomological functors on the category of sheaves of nonabelian groups, which in favorable cases are shown to be universal and at the same time to coincide.
Bibliography: 13 titles.
Fulltext:
PDF file (1231 kB)
