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nLab > Latest Changes: Cartesian morphism

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  1.  
    • CommentRowNumber1.
    • CommentAuthorHurkyl
    • CommentTimeNov 9th 2021

    I felt like the (∞,1) section should give an abstract description rather than a model specific one, so I’ve done so, and proved in the abstract the equivalence between the hom-space and slice-category characterizations.

    It feels like cheating to invoke the Grothendieck construction for it; can the argument be made just as cleanly without it?

    … I’m having trouble with the formatting, so I’m going to do some bisection to track down the issue….

    diff, v38, current

    • CommentRowNumber2.
    • CommentAuthorHurkyl
    • CommentTimeNov 9th 2021

    Okay, I think I got it

    diff, v38, current

    • CommentRowNumber3.
    • CommentAuthorHurkyl
    • CommentTimeNov 9th 2021

    It’s weird that you can’t do tikzcd inbetween dollar-sign pairs, and you have to actually use the centre environment thing.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeNov 10th 2021

    Thanks for the additions.

    Yes, the tikzcd-functionality is not part of Instiki (which is the software platform the nnLab rendering engine is using) but is an external add-on that Richard kindly added a while back, so that we can have decent diagram typesetting at all.

    My understanding is that there are plans to improve on this and other aspects, but I gather the priority right now is to get the nnLab migrated from its server at CMU (which is running out) to a cloud provider.

    As usual, if anyone is interested in lending Richard a hand with coding desired functionality for the nnLab, drop him a note and he may tell you what you could do!

    • CommentRowNumber5.
    • CommentAuthorHurkyl
    • CommentTimeNov 10th 2021

    Changed some of the language in my additions to make the overall presentation flow more smoothly.

    diff, v40, current

    • CommentRowNumber6.
    • CommentAuthorJem Lord
    • CommentTimeJul 16th 2022

    Added alternative equivalent slightly more explicit definition.

    diff, v43, current

1 to 6 of 6

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