Roberts, D.Vozzo, R.Wood, D.de Gier, J.Praeger, C.Tao, T.2018-10-172018-10-1720172016 MATRIX Annals, 2017 / Wood, D., de Gier, J., Praeger, C., Tao, T. (ed./s), vol.1, pp.43-479783319722986http://hdl.handle.net/2440/115189For a compact manifold M and a differentiable stack X presented by a Lie groupoid X, we show the Hom-stack Hom.M;X/ is presented by a Frechet- Lie groupoid Map.M; X/ and so is an infinite-dimensional differentiable stack. We further show that if X is an orbifold, presented by a proper etale Lie groupoid, then Map.M; X/ is proper etale and so presents an infinite-dimensional orbifold.en© Springer International Publishing AG, part of Springer Nature 2018. Chapter ‘The smooth Hom-stack of an orbifold’ is published with kind permission of © David Michael Roberts and Raymond Vozzo 2018. All Rights Reserved.math.DGmath.CTBook chapter003010011510.1007/978-3-319-72299-3_3275574Roberts, D. [0000-0002-3478-0522]