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nLab > Latest Changes: Mealy morphism

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  1.  
    • CommentRowNumber1.
    • CommentAuthortimhosgood
    • CommentTimeJul 14th 2019

    created the page for Mealy morphisms and just put in one reference

    Tim Hosgood

    v1, current

    • CommentRowNumber2.
    • CommentAuthorDavidRoberts
    • CommentTimeJul 15th 2019

    Added doi link to paper and clarified etymology.

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorRichard Williamson
    • CommentTimeJul 17th 2019
    • (edited Jul 17th 2019)

    Removed the ’not for the adjective mealy’, as I felt it to be unnecessary and jar a bit!

    Also changed the page name to the singular.

    There is lots more that can be added to this page, e.g. how a Meely morphism determines a profunctor, a precise definition, a precise characterisation of when a profunctor determines a Meely morphism, etc. (As discussed in #21 and following here, the page is not quite correct at the moment.)

    diff, v3, current

    • CommentRowNumber4.
    • CommentAuthorDavidRoberts
    • CommentTimeJul 17th 2019

    My immediate thought on reading the page was that in fine category theory tradition (cf prone, supine, wavy, etc) someone had decided to talk about mealy morphisms, and capitalised the word as a stylistic thing. But i guess the page doesn’t need both ’named for this guy Mealy’ and ’but not this other thing’ warnings.

  5. But i guess the page doesn’t need both ’named for this guy Mealy’ and ’but not this other thing’ warnings.

    Yes, exactly, we do not need both I think, but very good to clarify the etymology by including the first one :-).

    • CommentRowNumber6.
    • CommentAuthorMike Shulman
    • CommentTimeJul 18th 2019

    Actually, I thought they were named after Mealy machines. (Which in turn were named after George Mealy, but there’s an extra step in the chain.)

    • CommentRowNumber7.
    • CommentAuthorDavidRoberts
    • CommentTimeJul 18th 2019

    Well, that’s true, I suppose.

    • CommentRowNumber8.
    • CommentAuthorTim_Porter
    • CommentTimeJul 18th 2019

    Added slides by Bryce Clarke from ct2019

    diff, v5, current

    • CommentRowNumber9.
    • CommentAuthorBryceClarke
    • CommentTimeJul 6th 2021

    Added some more references. In particular, I’ve made a note mentioning that Mealy morphisms are the same as “two-dimensional partial maps” due to Lawvere, however I cannot find an original reference for this statement. Street and Lack mention the reference

    • F. W. Lawvere, Closed Categories, Lecture Series at Mathematisk Institut, Aarhus Universitet, February 1971.

    but I don’t suppose there are any written notes from this lecture series.

    In the future I will add an actual definition of Mealy morphism and continue to expand the page.

    diff, v8, current

    • CommentRowNumber10.
    • CommentAuthorBryceClarke
    • CommentTimeFeb 18th 2023

    Added the definition of Mealy morphism between enriched categories from the Paré paper.

    I also removed some references to works of mine, where I refer to something as an example of a Mealy morphism that does not satisfy an additional constraint in the Pare paper that a certain functor be objectwise constant on fibres.

    I will come back later to write a more accurate Idea section for this page.

    diff, v11, current

    • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeFeb 18th 2023

    added:

    floating context menu

    and hyperlinks to a bunch of technical term

    diff, v13, current

    • CommentRowNumber12.
    • CommentAuthorvarkor
    • CommentTimeJan 10th 2024

    Mention the relationship to copowers and the bicategory of profunctors.

    diff, v14, current

1 to 12 of 12

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