# How to find the smallest flabby sheaf containing a given sheaf ?

None of the spaces C^k (\mathbb{R}^n), with 0 \leq k \leq \infty, is a flabby sheaf. However, they are respectively contained in the smallest flabby sheaves C^k_{nd} (\mathbb{R}^n) of functions f : \mathbb{R}^n \longrightarrow \mathbb{R} for which there exist \Gamma \subset \mathbb{R}^n, \Gamma closed and nowhere dense, such that f restricted to \mathbb{R}^n \setminus \Gamma is C^k-smooth.

Is any similar way known to construct flabby sheaves which contain given sheaves of functions defined on some topological space X ?

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