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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeAug 23rd 2020

    Page created, but author did not leave any comments.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeAug 23rd 2020

    I have expanded the statement of the theorem, including also the statement that the derived adjunction unit is rationalization (on connected nilpotent rationally finite homotopy types)

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJul 7th 2021
    • (edited Jul 7th 2021)

    I have added (here) a revisionistic statement of Bousfield-Gugenheim’s Lemma 11.7, in a new section “Change of scalars”.

    diff, v7, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJul 8th 2021
    • (edited Jul 8th 2021)

    I have added (here) a re-casting of the Bousfield-Gugenheim extension-of-scalars-Lemma as the statement that the real Chern-Dold character in non-abelian cohomology factors through the rational Chern-Dold character via Deligne-Griffiths-Morgan-Sullivan’s “tensoring a homotopy type with \mathbb{R}“-operation.

    diff, v8, current

    • CommentRowNumber5.
    • CommentAuthorDmitri Pavlov
    • CommentTimeJul 8th 2021

    Definition 2.1 says

    nilpotent: the fundamental group π1(X) is a nilpotent group;

    Don’t we also need the action on higher homotopy groups to be nilpotent?

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJul 8th 2021

    Yes, have added the missing clause now.

    diff, v9, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeJul 14th 2021

    Added pointer to:

    diff, v11, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeSep 26th 2021

    added pointer to:

    diff, v13, current