%0 Journal Article %T Selections, Paracompactness and Compactness %A Mitrofan M. Choban %A Ekaterina P. Mihaylova %A Stoyan I. Nedev %J Mathematics %D 2009 %I arXiv %X In the present paper, the Lindelof number and the degree of compactness of spaces and of the cozero-dimensional kernel of paracompact spaces are characterized in terms of selections of lower semi-continuous closed-valued mappings into complete metrizable (or discrete) spaces. %U http://arxiv.org/abs/0903.3514v1