On coalgebra based on classes
<|reference_start|>On coalgebra based on classes: Every endofunctor of the category of classes is proved to be set-based in the sense of Aczel and Mendler, therefore, it has a final coalgebra. Other basic properties of these endofunctors are proved, e.g. the existence of a free completely iterative theory.<|reference_end|>
@article{adamek2003on,
    title={On coalgebra based on classes},
    author={J.Adamek, S. Milius, J. Velebil},
    journal={arXiv preprint arXiv:cs/0306118},
    year={2003},
    archivePrefix={arXiv},
    eprint={cs/0306118},
    primaryClass={cs.LO}
}