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nLab > Latest Changes: Whitehead theorem

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeOct 27th 2009
    • (edited Oct 27th 2009)

    created Whitehead theorem, including its (oo,1)-topos version

    in that context I also created hypercomplete (infinity,1)-topos. maybe that should be merged eventually with hypercompletion.

    • CommentRowNumber2.
    • CommentAuthorDmitri Pavlov
    • CommentTimeOct 2nd 2019

    Added a simplicial version.

    diff, v20, current

    • CommentRowNumber3.
    • CommentAuthorDmitri Pavlov
    • CommentTimeNov 27th 2019

    Added more material about the simplicial Whitehead theorem.

    diff, v21, current

    • CommentRowNumber4.
    • CommentAuthorDmitri Pavlov
    • CommentTimeAug 28th 2021

    Original reference added:

    • J. H. C. Whitehead, Combinatorial homotopy. I, Bulletin of the American Mathematical Society 55:3 (1949), 213–246. doi.

    diff, v25, current

    • CommentRowNumber5.
    • CommentAuthorDmitri Pavlov
    • CommentTimeMay 23rd 2022

    Added:

    The simplicial version is due to Daniel M. Kan, see Theorem 7.2 in

    • Daniel M. Kan, On c.s.s. categories, Boletín de la Sociedad Matemática Mexicana 2 (1957), 82–94. PDF.

    diff, v26, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJan 28th 2023

    added pointer to:

    diff, v27, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeJan 28th 2023

    and this one:

    diff, v27, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeFeb 18th 2023

1 to 8 of 8

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