A classical theorem of Hurewicz characterizes spaces with the Hurewicz covering property as those having bounded continuous images in the Baire space. We give a similar characterization for spaces $X$ which have the Hurewicz property hereditarily. We proceed to consider the class of Arhangel’skii ${\alpha }_1$ spaces, for which every sheaf at a point can be amalgamated in a natural way. Let $C_p\left(X\right)$ denote the space of continuous real-valued functions on $X$ with the topology of pointwise convergence. Our main result...