%0 Journal Article %T Covering Large Balls with Convex Sets in Spherical Space %A Karoly Bezdek %A Rolf Schneider %J Mathematics %D 2011 %I arXiv %X If the n-dimensional unit sphere is covered by finitely many spherically convex bodies, then the sum of the inradii of these bodies is at least {\pi}. This bound is sharp, and the equality case is characterized. %U http://arxiv.org/abs/1110.4316v1