Dear all, I would like to announce that the following preprint is available as http://arxiv.org/abs/0905.4883 as well as from my webpage www.math.upatras.gr/~pkarazer Final Coalgebras in Accessible Categories, by Panagis Karazeris, Apostolos Matzaris and Jiri Velebil Abstract: We give conditions on a finitary endofunctor of a finitely accessible category to admit a final coalgebra. Our conditions always apply to the case of a finitary endofunctor of a locally finitely presentable (l.f.p.) category and they bring an explicit construction of the final coalgebra in this case. On the other hand, there are interesting examples of final coalgebras beyond the realm of l.f.p. categories to which our results apply. We rely on ideas developed by Tom Leinster for the study of self-similar objects in topology. Best regards, Panagis Karazeris [For admin and other information see: http://www.mta.ca/~cat-dist/ ]