The following preprint can be downloaded: M. Grandis - R. Paré Multiple categories of generalised quintets Preprint: Pubbl. Mat. Univ. Genova, Preprint 607 (2017). Available at: http://www.dima.unige.it/~grandis/MlcGQ.pdf Abstract. We construct various multiple categories, based on generalised Ehresmann quintets. The main construction is a multiple category whose objects are all the `lax' multiple categories; the transversal arrows are their strict multiple functors while the arrows in a positive direction are multiple functors of a `mixed laxity', varying from the lax ones (in direction 1) to the colax ones (in direction \infty). ---------------- Marco Grandis (and Bob Paré) [For admin and other information see: http://www.mta.ca/~cat-dist/ ]