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nLab > Latest Changes: quintet construction

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJul 12th 2018

    merged some material into this entry. What is actually the original reference? Is it Ehresmann 63 or Bastiani-Ehresmann 74?

    diff, v4, current

    • CommentRowNumber2.
    • CommentAuthorMike Shulman
    • CommentTimeJul 13th 2018

    Well, 63<7463\lt 74…

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJul 13th 2018
    • (edited Jul 13th 2018)

    All right, so I’ll check myself… No, it’s not in that article from 63 that I pointed to (which I got from your article). The term “quintet” is just announced there, with pointer to another article. But it’s not so important, just thought I’d check while I am at it. The world will survive without knowing where Ehresmann noted down this simple idea first.

    • CommentRowNumber4.
    • CommentAuthorTim_Porter
    • CommentTimeJul 13th 2018
    • (edited Jul 13th 2018)

    In Ehresmann’s collected works there is at no 58: Catégorie double des quintettes; applications covariantes, C.R.A.S. Paris 256 (1963), 1891-1894. Andrée Ehressmann comments on this in the Collected Works.

    The paper is in volume III.

    • CommentRowNumber5.
    • CommentAuthorTim_Porter
    • CommentTimeJul 13th 2018

    Added link to an earlier source.

    diff, v6, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJul 13th 2018

    Thanks! So I adjusted the text around the references accordingly.

    • CommentRowNumber7.
    • CommentAuthorMike Shulman
    • CommentTimeJul 13th 2018

    Thanks everyone! Maybe I got the “63” reference wrong originally.

    • CommentRowNumber8.
    • CommentAuthorTim_Porter
    • CommentTimeJul 13th 2018

    Mike, you did not. He mentions it in the paper to which you referred, but there he refers to the Comptes Rendus paper for more details.

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeJul 13th 2018

    for more details.

    For any details. Unless I am missing something.

    • CommentRowNumber10.
    • CommentAuthorTim_Porter
    • CommentTimeJul 13th 2018

    Yes you’re right!

    • CommentRowNumber11.
    • CommentAuthorBryceClarke
    • CommentTimeMar 31st 2023

    Noted that the quintet construction admits a left adjoint (in addition to admitting a right adjoint) and provided the reference.

    diff, v9, current

1 to 11 of 11

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