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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeAug 3rd 2020

starting something, not done yet

• 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)

• CommentRowNumber3.
• CommentAuthorHurkyl
• CommentTimeDec 10th 2021

Fixed the indexing. Lurie’s statement equates $E_n$ groups with $n$-connective spaces, but $n$-connective means $(n-1)$-connected.

e.g., the base case equates groups (which are $E_1$) with pointed connected spaces, but connected means $0$-connected.

• CommentRowNumber4.
• CommentAuthorHurkyl
• CommentTimeDec 10th 2021

Fixed the indexing. Lurie’s statement equates $E_n$ groups with $n$-connective spaces, but $n$-connective means $(n-1)$-connected.

e.g., the base case equates groups (which are $E_1$) with pointed connected spaces, but connected means $0$-connected.

1. 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

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