Jiří Adámek - Algebraic cocompleteness and finitary functors

lmcs:6163 - Logical Methods in Computer Science, May 28, 2021, Volume 17, Issue 2 - https://doi.org/10.23638/LMCS-17(2:23)2021
Algebraic cocompleteness and finitary functorsArticle

Authors: Jiří Adámek

    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 canonical partial order with the same ideal CPO-completion. And they also both carry a canonical ultrametric with the same Cauchy completion.

    https://doi.org/10.23638/LMCS-17(2:23)2021
    Source: arXiv.org:1903.02438
    Volume: Volume 17, Issue 2
    Published on: May 28, 2021
    Accepted on: May 26, 2021
    Submitted on: February 27, 2020
    Keywords: Mathematics - Category Theory,18A22, 68Q65
    Licence: Attribution 4.0 International (CC BY 4.0)

    Classifications

    Mathematics Subject Classification 20201
    Sources:
    • [1] zbMATH Open.

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