Algebraic cocompleteness and finitary functors

A number of categories is presented that are algebraically complete and cocomplete, i.e., every endofunctor has an initial algebra and a terminal coalgebra. For all finitary (and, more generally, all precontinuous) set functors the initial algebra and terminal coalgebra are proved to carry a canonic...

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Bibliographic Details
Main Author: Jiří Adámek
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2021-05-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/6163/pdf