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I am asking for references and discussions of statements of the form Every bounded hypercover can be refined by an ordinary cover By "bounded" I mean "finite height". E.g., are ...

I'm looking for a reference for the following result: Let $X$ be a locally compact Hausdorff topological space. let $\mathcal{R}$ be the sheaf of continuous functions with values in $\mathbb{R}$ over ...

Where can I find a proof of the de Rham-Weil theorem? Does anyone know?

This is probably not a research level question, I'm sorry if it is inappropriate. I'm reasking here this question on math.se. Suppose that $\xi: E \to B$ is a bundle (by which I mean simply a ...

Let $a:W\rightarrow X$, $c:X\rightarrow Z$, $b:W\rightarrow Y$ and $d:Y\rightarrow Z$ be a pull-back diagram in the category of topological spaces. Then one can construct a natural isomorphism $\kappa$...