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nLab > Latest Changes: monoidal category with diagonals

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  1.  
    • CommentRowNumber1.
    • CommentAuthorDavidRoberts
    • CommentTimeApr 17th 2019

    Finally made a page for the concept mentioned by Mike in a 2016 n-Café discussion.

    I’d be interested in examples that weren’t already relevance monoidal categories (ie, not symmetric).

    v1, current

    • CommentRowNumber2.
    • CommentAuthorDavidRoberts
    • CommentTimeApr 17th 2019

    I should check (or someone can confirm) if the smash product makes sense for pointed objects in an arbitrary (cocomplete etc) monoidal category. Then this might be an example of the sort I was looking for.

    • CommentRowNumber3.
    • CommentAuthorDavidRoberts
    • CommentTimeApr 17th 2019

    Included context menu

    diff, v2, current

    • CommentRowNumber4.
    • CommentAuthorSam Staton
    • CommentTimeApr 17th 2019

    Mentioned “copyability” terminology for this

    diff, v3, current

    • CommentRowNumber5.
    • CommentAuthorTodd_Trimble
    • CommentTimeApr 18th 2019

    Changed ∨\vee to ∧\wedge.

    diff, v4, current

    • CommentRowNumber6.
    • CommentAuthorDavidRoberts
    • CommentTimeApr 18th 2019

    Thanks, Todd. Don’t know why I used \vee…

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeDec 9th 2020

    The first sentence used to seemingly claim that in a general monoidal categoy there are no morphisms of the form x→x⊗xx \to x \otimes x. I have reworded a bit.

    diff, v5, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeJan 19th 2021
    • (edited Jan 19th 2021)

    I have expanded out (here) the example of the smash product on pointed sets/spaces. Since the same example also serves in related entries, I have written it into its own entry smash-monoidal diagonals – section and !includeed it here

    diff, v7, current

    • CommentRowNumber9.
    • CommentAuthorRodMcGuire
    • CommentTimeJan 20th 2021

    trying to see the diff of monoidal category with diagonals gave me

    500 Internal Server Error

    several times repeatedly. But while I was trying to track the error down and report it it went away.

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeJan 20th 2021

    Even without the error message, the diff on my revision 7 is not very useful, as it fails to render all the LaTeX-style code. My understanding is that this is because the renovated parser operates only on the public page, but nor on diff-s nor on the page history.

    For that reason I try to keep pointing directly to where I made changes. In the present case, the changes are the entirety of this section.

    • CommentRowNumber11.
    • CommentAuthorDavidRoberts
    • CommentTimeApr 30th 2021

    Added the example

    diff, v8, current

1 to 11 of 11

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