All Questions

First of all, I give my definition of weak sheaves: By a weak sheaf on a topological space $ X $, we mean a presheaf $F$ such that for all open covering $\{ U_i\}_{i\in I} $ of $X$ sheaf ...

There is a (seemingly simple) statement in the literature on sheaf theory, namely, If $E$ is the site of opens of a topological space $X$, the notion of sheaf over $X$ coincides with that of sheaf of ...

When proving that singular cohomology of an appropriate space $X$ equals sheaf cohomology of $X$ with "values" (does one say that?) in the sheaf $\mathbb{Z}_X$ of locally constant functions, the ...