ABSTRACT
We say that a sequence C 1,C 2,…of sets of d-dimensional Euclidean space E d permits a
covering of a set if there are rigid motions σ 1,σ 2,…such that
Results on covering by sequences of convex bodies are given by many authors. In particular, see [1], [11] and the survey paper [2]. On-line covering is a covering in which every C i with i>1 is presented only after the motion σ i -1 has been provided. The online covering is considered in [3-8], and the survey of results concerning the on-line covering is given in [9].
