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nLab > Latest Changes: distributive monoidal category

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  1.  
    • CommentRowNumber1.
    • CommentAuthorMike Shulman
    • CommentTimeJul 16th 2013
    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJan 8th 2021
    • (edited Jan 8th 2021)

    In the Examples-section (here) I have added mentioning of

    • distributive categories

    • pointed topological spaces (with respect to wedge sum and smash product).

    diff, v8, current

    • CommentRowNumber3.
    • CommentAuthorRodMcGuire
    • CommentTimeJan 8th 2021

    fixed the strange reference which may not work

    • Mark Weber, Multitensors and monads on categories of enriched graphs, spnet {#Weber}

    to

    • Mark Weber, Multitensors and monads on categories of enriched graphs, TAC 28(26), 2013, (tac) {#Weber}

    Is there any nLab standard syntax for referencing TAC articles?

    diff, v9, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJan 9th 2021
    • (edited Jan 9th 2021)

    Is there any nLab standard syntax for referencing TAC articles?

    I am formatting as you just did, with one slight exception: Following early suggestions by Zoran, I have adopted the habit of always displaying the code numbers that go with a webpage where a reference is hosted:

    So in this case I would end the item with

      ([tac:28-26](http://www.tac.mta.ca/tac/volumes/28/26/28-26abs.html))

    rendering to

    (tac:28-26)

    Similarly for “doi:xyz” or “jstor:xyz” or “arXiv:xyz” or “ISBN:xyz”, etc.

    Another minor thing is that I put the anchor labels right to the beginning of the paragraph that they are anchoring, instead of the end. This to avoid that the parser gets mixed up about where the anchor goes, which was a problem at least at some point.

    And finally, I include the publication year in the anchor for a reference. This is to facilitate copy-and-pasting references across pages without their anchors clashing too much.

    So in summary, I would code that reference as follows:

      * {#Weber13} [[Mark Weber]], *Multitensors and monads on categories of enriched graphs*, [[TAC]] 28(26), 2013, ([tac:28-26](http://www.tac.mta.ca/tac/volumes/28/26/28-26abs.html))
    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeApr 5th 2023
    • (edited Apr 5th 2023)

    I have spelled out (here) the (utterly elementary) example of how the category of Set-indexed vector spaces is distributive monoidal with respect to the “external” tensor product.

    Will add this also to VectBund.

    diff, v11, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJun 4th 2023

    added pointer to:

    diff, v13, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeJun 4th 2023

    added pointer to:

    diff, v13, current

  8. adding the category of pointed sets to the list of examples in the “Various” section

    Amy Reed

    diff, v14, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeJun 8th 2023
    • (edited Jun 8th 2023)

    fixed the wording regarding “more generally” (ie.: pointed sets are a special case of pointed topological spaces, not the other way around)

    diff, v15, current

  10. In “such that the canonical morphisms … are isomorphisms”, indicate which way the canonical morphisms go, and don’t use isomorphism notation for them before they have been declared to be isomorphisms.

    Peter Selinger

    diff, v16, current

    • CommentRowNumber11.
    • CommentAuthorJ-B Vienney
    • CommentTimeJul 3rd 2024

    Just added parentheses. It was unclear what the second requirement in the definition means without them.

    diff, v18, current

    • CommentRowNumber12.
    • CommentAuthorJ-B Vienney
    • CommentTimeJul 3rd 2024
    • (edited Jul 3rd 2024)

    On the other hand, I don’t understand why there are parentheses in the domains of the two canonical morphisms. Isn’t it more natural to consider the tensor product prioritary over the coproduct than the opposite convention given that the coproduct is often considered as a sum? This is the convention adopted in the entry distributive category.

    It seems that the first person who wrote the page was considering the coproduct to be prioritary.

1 to 12 of 12

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