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nLab > Latest Changes: dagger category

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJan 6th 2010
    • (edited Jan 6th 2010)

    I took the liberty of incorporating material from Andre Joyal's latest message to the CatTheory mailing list into the entry dagger-category:

    created sections

    • CommentRowNumber2.
    • CommentAuthorzskoda
    • CommentTimeJan 6th 2010

    Joyal really made a surprising, subtle and beautiful point. So far the most interesting remark in the whole dagger discussion, to my taste.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeMar 22nd 2010

    Does anyone consider a bicategory of dagger-catgeories? Or dagger-functor categories? Hence a closed monoidal structure on dagger categories? Things like that?

    • CommentRowNumber4.
    • CommentAuthorMike Shulman
    • CommentTimeMar 22nd 2010

    I think the category of dagger-categories and dagger-functors is actually cartesian closed. Giving you in particular a "locally-dagger" 2-category of dagger categories.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeMar 22nd 2010
    • (edited Mar 22nd 2010)

    What's the dagger structure on the internal hom?

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeMar 22nd 2010

    Oh, right, sorry, I get it.

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeMar 22nd 2010

    started The category fo dagger-categories

    but have to interrup now-- have to dash to get some dinner...

    • CommentRowNumber8.
    • CommentAuthorHarry Gindi
    • CommentTimeMar 22nd 2010
    • (edited Mar 22nd 2010)

    Yes, best typo of all time.

    Please do not fix it.

    The Category fo Dagger Categories, the place where all the cool cats like to go.

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeMar 22nd 2010
    • (edited Mar 22nd 2010)

    Yes, best typo of all time.

    Thanks, I am practicing typos a lot.

    anyway: dinner is over, here are more details: the category of dagger-categories

    • CommentRowNumber10.
    • CommentAuthorIan_Durham
    • CommentTimeMar 23rd 2010
    This comment is invalid XHTML+MathML+SVG; displaying source. <div> <blockquote><br/>The Category fo Dagger Categories, the place where all the cool cats like to go.<br/></blockquote><br/>Yo. </div>

1 to 10 of 10

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