%0 Journal Article %T On braided near-group categories %A Josiah Thornton %J Mathematics %D 2011 %I arXiv %X We prove that any fusion category over $\mathbb{C}$ with exactly one non-invertible simple object is spherical. Furthermore, we classify all such categories that come equipped with a braiding. %U http://arxiv.org/abs/1102.4640v1