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nLab > Latest Changes: enriched preorder

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  1. Page created, but author did not leave any comments.

    Anonymous

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMay 19th 2022
    • (edited May 19th 2022)

    have cross-linked with the section here at “partial order” where the enriched cagtegory-theoretic perspective on posets is mentioned .

    In fact I ended up giving the Idea-section a lead-in sentence which makes this motivation for the present page fully explicit, now the Idea-section reads as follows:

    Recall (here) that a poset may be understood as a skeletal (0,1)-category, hence as a skeletal category enriched over the cartesian monoidal poset of truth values. In generalization, one may speak of enriching posets over other monoidal posets.

    finally I have added plural redirect [[!redirects enriched posets]]

    diff, v2, current

  3. Lawvere metric spaces and pseudometric spaces do not satisfy the separation axiom so are properly speaking not enriched posets.

    Anonymous

    diff, v4, current

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