%0 Journal Article %T Complete sets and completion of sets in Banach spaces %A Horst Martini %A Pier Luigi Papini %A Margarita Spirova %J Mathematics %D 2013 %I arXiv %X In this paper we study properties of complete sets and of completions of sets in Banach spaces. We consider the family of completions of a given set and its size; we also study in detail the relationships concerning diameters, radii, and centers. The results are illustrated by several examples. %U http://arxiv.org/abs/1308.0789v1