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nLab > Latest Changes: fibration of points

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  1.  
    • CommentRowNumber1.
    • CommentAuthorBryceClarke
    • CommentTimeFeb 8th 2023

    Added (what I believe to be is) the original reference:

    I’m leaving a note here to add more to this page relating to Malcev categories and protomodular categories.

    diff, v8, current

    • CommentRowNumber2.
    • CommentAuthorzskoda
    • CommentTimeFeb 8th 2023

    Grothendieck, Benabou and all topos people well knew and used the codomain fibration and the Grothendieck construction for it. While Bourn certainly first understood the importance of this example in the context of study of categories of algebras , the category of points is due Grothendieck, and the idea essentially known to MacLane before that, and it has been used much by Benabou in his study of fibrations in 1970s.

    • CommentRowNumber3.
    • CommentAuthorBryceClarke
    • CommentTimeFeb 8th 2023

    Re #2: That additional context is very helpful, thank you. If you have time to add some of those references to the page, I think it would be very much improved! In the meantime, I remove the reference to “first”.

    • CommentRowNumber4.
    • CommentAuthorzskoda
    • CommentTimeFeb 8th 2023

    For the detailed references I will have to consult Igor Baković, he would be more precise in details there.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeFeb 8th 2023

    by the way, we have an entry codomain fibration. I have added cross-links.

    diff, v10, current

1 to 5 of 5

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