  For a compact manifold M and a differentiable stack \cX presented by a Lie
groupoid X, we show the Hom-stack Hom(M,\cX) is presented by a Fr\'echet-Lie
groupoid Map(M,X) and so is an infinite-dimensional differentiable stack. We
further show that if \cX is an orbifold, presented by a proper \'etale Lie
groupoid, then Map(M,X) is proper \'etale and so presents an
infinite-dimensional orbifold.
