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nLab > Latest Changes: inserter

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  1.  
    • CommentRowNumber1.
    • CommentAuthorDmitri Pavlov
    • CommentTimeJun 3rd 2020

    Added a concrete example: inserters of categories.

    diff, v5, current

    • CommentRowNumber2.
    • CommentAuthorzskoda
    • CommentTimeMar 2nd 2021
    • G.J. Bird, G.M. Kelly, A.J. Power, R.H. Street, Flexible limits for 2-categories, J. Pure and Applied Algebra 61:1, 1-27, 1989, doi:10.1016/0022-4049(89)90065-0
    • Fernando Lucatelli Nunes, Freely generated nn-categories, coinserters and presentations of low dimensional categories, arxiv/1704.04474

    diff, v6, current

    • CommentRowNumber3.
    • CommentAuthorjulia9367
    • CommentTimeJun 4th 2022
    • (edited Jun 4th 2022)
    I think the page is inconsistent on its use of „strict inserter“. Above it says that an inserter is strict if the diagrams are represented by an isomorphism of categories as opposed to an equivalence, so it's talking about the bilimit/limit distinction. Below it says that every strict inserter is in particular an inserter and that this is not true for general strict limits. But it is true that any limit if it exists is a bilimit (every isomorphism is an equivalence), so here the pseudo limit/strict limit distinction would be correct.

1 to 3 of 3

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