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nLab > Latest Changes: semicartesian monoidal category

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  1. example of nominal sets with separated tensor added, see Chapter 3.4 of Pitts monograph Nominal Sets

    Alexander Kurz

    diff, v21, current

  2. Added link to nominal set.

    diff, v22, current

    • CommentRowNumber3.
    • CommentAuthorMike Shulman
    • CommentTimeOct 23rd 2019

    Added a remark about definability in terms of projections, from cafe discussion.

    diff, v23, current

    • CommentRowNumber4.
    • CommentAuthorMike Shulman
    • CommentTimeDec 17th 2019

    Added missing adjective “symmetric” to the second characterization of cartesian monoidal categories (thanks to dremodaris on MO).

    diff, v24, current

    • CommentRowNumber5.
    • CommentAuthorDmitri Pavlov
    • CommentTimeFeb 18th 2021

    Added an example:

    diff, v25, current

    • CommentRowNumber6.
    • CommentAuthorDmitri Pavlov
    • CommentTimeMar 6th 2021

    Added a reference.

    diff, v26, current

    • CommentRowNumber7.
    • CommentAuthorDavidRoberts
    • CommentTimeMay 24th 2021
    • CommentRowNumber8.
    • CommentAuthorDavidRoberts
    • CommentTimeMay 24th 2021

    Added link to the MO question mentioned by Mike is #4.

    I want to check if anyone knows a reference for this claim about Robin Houston:

    The characterization of cartesian monoidal categories in terms of ee and Δ\Delta, apparently discovered by Robin Houston, is mentioned here:

    • John Baez, Universal algebra and diagrammatic reasoning, 2006. pdf

    and as of 2014, Nick Gurski plans to write up the proof in a paper on semicartesian monads.

    In the slides at the link I see no mention of Robin Houston at all. Do we have a source for this? Also, the “as of 2014” remark is wildly out-of-date. Any more on this, or should it be deleted?

    diff, v28, current

    • CommentRowNumber9.
    • CommentAuthorDavidRoberts
    • CommentTimeMay 24th 2021

    Gave specific page reference to point in John’s slides Universal algebra and diagrammatic reasoning

    diff, v28, current

    • CommentRowNumber10.
    • CommentAuthorDavidRoberts
    • CommentTimeMay 26th 2021

    Added missing hypothesis of symmetry in one place of the discussion relating semicartesian to cartesian.

    diff, v29, current

    • CommentRowNumber11.
    • CommentAuthorJohn Baez
    • CommentTimeAug 9th 2021

    I changed “non-standard non-cartesian funny tensor product” to “non-cartesian funny tensor product”. It’s perfect standard as funny tensor products go, so saying “non-standard” could be confusing.

    diff, v30, current

    • CommentRowNumber12.
    • CommentAuthorUrs
    • CommentTimeAug 9th 2021

    re #8:

    The lines in question were added by John Baez in revision 12. I gather John is not actually reading the nForum. You may need to email him.

    • CommentRowNumber13.
    • CommentAuthorvarkor
    • CommentTimeSep 25th 2022

    Add redirects for “semicocartesian”.

    diff, v31, current

    • CommentRowNumber14.
    • CommentAuthorvarkor
    • CommentTimeFeb 6th 2024

    Removed the attribution of the characterisation of cartesian categories in terms of counital comagmas to Robin Houston, as he said it was folklore. I’ve added an older reference, in which it is also called folklore. Removed the unnecessary reference to Gurski.

    diff, v34, current

    • CommentRowNumber15.
    • CommentAuthormaxsnew
    • CommentTimeSep 23rd 2024

    Free semicartesian monoidal categories

    diff, v37, current

    • CommentRowNumber16.
    • CommentAuthormaxsnew
    • CommentTimeSep 24th 2024

    relate the nominal set example to the FinInj example.

    diff, v38, current

1 to 16 of 16

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