Abstract
The category of unary algebras on one operation is shown to have a largest initial completion that is not fibre-small. Since all more complex signatures are known to yield categories of algebras without a largest initial completion, the picture is complete.
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References
[AHS] J. Adámek, H. Herrlich, and G. E. Strecker, Least and largest initial completions, Comment. Math. Univ. Carolinae 20 (1979), 43–77.
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© 1982 Springer-Verlag
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Adámek, J., Strecker, G.E. (1982). On the largest initial completion of categories of algebras. In: Banaschewski, B. (eds) Categorical Aspects of Topology and Analysis. Lecture Notes in Mathematics, vol 915. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092867
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DOI: https://doi.org/10.1007/BFb0092867
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