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nLab > Latest Changes: May recognition theorem

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeAug 3rd 2020

    starting something, not done yet

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeAug 3rd 2020
    • (edited Aug 3rd 2020)

    now some minimum in place

    Remark 1: We had this already stated in various entries, such as at looping and delooping, but statement and citations there had been somewhat incomplete.

    Remark 2: There is another old nForum thread with the same title, but in a different category: May recognition theorem (in Mathematics, Physics & Philosophy)

    v1, current

    • CommentRowNumber3.
    • CommentAuthorHurkyl
    • CommentTimeDec 10th 2021

    Fixed the indexing. Lurie’s statement equates E nE_n groups with nn-connective spaces, but nn-connective means (n−1)(n-1)-connected.

    e.g., the base case equates groups (which are E 1E_1) with pointed connected spaces, but connected means 00-connected.

    diff, v3, current

    • CommentRowNumber4.
    • CommentAuthorHurkyl
    • CommentTimeDec 10th 2021

    Fixed the indexing. Lurie’s statement equates E nE_n groups with nn-connective spaces, but nn-connective means (n−1)(n-1)-connected.

    e.g., the base case equates groups (which are E 1E_1) with pointed connected spaces, but connected means 00-connected.

    diff, v3, current

  5. I intend to create a page for the recognition theorem for relative loop spaces in https://msp.org/agt/2020/20-3/p08.xhtml

    As instructed in the How to page, I’m creating the link through this page

    Renato V V

    diff, v5, current

1 to 5 of 5

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