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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeSep 24th 2024

    starting something on the concept introduced in

    • Sergei O. Ivanov, Roman Mikhailov: A higher limit approach to homology theories, Journal of Pure and Applied Algebra 219 6 (2015) 1915-1939 [arXiv:1309.4920, doi:10.1016/j.jpaa.2014.07.016]

    • Sergei O. Ivanov, Roman Mikhailov: Higher limits, homology theories and fr\mathbf{fr}-codes, in: Combinatorial and Toric Homotopy, Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore (2017) 229-261 [arXiv:1510.09044, doi:10.1142/9789813226579_0004]

    but for the moment there is little more than these references

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeOct 10th 2024
    • (edited Oct 10th 2024)

    added pointer to today’s preprint

    • Nikita Golub: Functorial languages in homological algebra and the lower central series [arXiv:2410.05708]

    and to yesterday’s talk:

    • Nikita Golub: Functorial Languages in Homological Algebra, talk at CQTS @ NYU Abu Dhabi (Oct 2024) [slides:pdf]

    diff, v6, current

  1. Added definitions and some calculations.

    Nikita Golub

    diff, v7, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeNov 22nd 2024

    Hi Nick, thanks for contributing!

    Just some hints on nLab-coding:

    Links to the nLab page on some concept are best coded as

      [[concept]]
    

    instead of

      [concept](https://ncatlab.org/nlab/show/concept).
    

    Standard variants of a page name are usually coded to redirect to the desired page, for instance the plural should always work

      [[concepts]]
    

    If you do need to point to the page on “concept” but with a different visible string of text, you should type

      [[concept|alternative text]]
    

    diff, v9, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeNov 22nd 2024

    Another minor issue is that our software’s rendering of

      :=
    

    tends to come out with bad whitespace. Better to use

      \coloneqq
    

    instead. (Already “\colon” renders a little better than “:” for type declarations.)

    • CommentRowNumber6.
    • CommentAuthorNickGolub
    • CommentTimeNov 22nd 2024
    Thank you!
    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeNov 23rd 2024

    changing page name to singular,

    also added cross-link with higher limit approach to homology

    diff, v10, current