Hurewicz and Hurewicz-type star selection principles for hit-and-miss topology

In this paper we continue the study of the characterization of selection principles in the hyper -spaces CL(X), K(X), F(X) and CS(X), endowed with the hit-and-miss topology, by using it increment (?)-networks and c increment (?)-covers of a topological space X. Specifically, we prove theorems which characterize the covering properties Hurewicz, strongly star Hurewicz, star Hurewicz and absolutely strongly star Hurewicz in these hyperspaces.