preprint announcement

[Panagis Karazeris <pkarazer@upatras.gr>]

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



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