Journal of the
Korean Mathematical Society JKMS

In this paper we investigate relationships between closure-type and convergence-type properties of hyperspaces over a space $X$ and covering properties of $X$.

Keywords: selection principles, hyperspace, $\omega$-cover, $k$-cover, $\gamma$-cover, $\gamma_k$-cover, filter-Fr\'echet, strongly filter-Fr\'echet, set-Fr\'echet, strongly set-Fr\'echet, $\alpha_i$-properties.

MSC numbers: 54B20, 54A20, 54D20