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nLab > Latest Changes: 2-Lawvere theory

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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeOct 8th 2010

    created stub for 2-Lawvere theory

    • CommentRowNumber2.
    • CommentAuthorMike Shulman
    • CommentTimeOct 8th 2010

    Any reason you decided to put the 2- on Lawvere rather than on theory, as Power+Lack did?

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeOct 8th 2010

    Any reason you decided to put the 2- on Lawvere rather than on theory, as Power+Lack did?

    I feel never sure on how to do this. I think I was led by my earlier decision to say (infinity,1)-algebraic theory. Is that a bad idea? Maybe.

    • CommentRowNumber4.
    • CommentAuthorMike Shulman
    • CommentTimeOct 8th 2010

    Well, I would consider the 2-ness as applying to the theory-ness rather than the Lawvere-ness, i.e. a 2-theory is a more general thing and a Lawvere one, or an algebraic one for that matter (or a regular one, a geometric one, etc) is only a particular case of it. But as long as there are redirects I’m not too fussed either way.

    • CommentRowNumber5.
    • CommentAuthorJoe Moeller
    • CommentTimeOct 5th 2019

    added some references

    diff, v4, current

    • CommentRowNumber6.
    • CommentAuthorJoe Moeller
    • CommentTimeJan 19th 2020
    • (edited Jan 19th 2020)
    In the future work section of Yanofsky's The Syntax of Coherence, it's suggested that developing multi-sorted 2-theories could allow theories for closed monoidal categories, among other things. Does anybody know if multi-sorted 2-theories have been worked on? Also, does the suggestion seem reasonable?
    • CommentRowNumber7.
    • CommentAuthorDavid_Corfield
    • CommentTimeJan 19th 2020

    Did you see Mike’s post on n-theories?

    • CommentRowNumber8.
    • CommentAuthorJoe Moeller
    • CommentTimeJan 20th 2020
    I haven't. Thanks, it was a good read.

1 to 8 of 8

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