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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeFeb 22nd 2010

    created rationalization even though it overlaps with the material at rational topological space

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeApr 22nd 2010
    • (edited Apr 22nd 2010)

    added in a new section Properties a proof (or what I think is a proof) that rationalization preserves homotopy pullbacks of objects of finite type.

    What I type there is supposed to be a more or less immediate re-packaging of a technical result due to Halperin-Thomas, which appears in Hess’s review in a polished form somewhat more to the point than Halperin-Thomas’s discussion. My reformulation is supposed to make it even more to the point.

    But check.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeApr 22nd 2010
    • (edited Apr 22nd 2010)

    added comments and links to rationalization on how Toen’s theory of rational homotopy theory in an (infinity,1)-topos provides another way to regard rationalization is a localization of Grpd\infty Grpd/TopTop.

    Wanted to further expand on this, but am running out of time now…

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeAug 23rd 2020

    added pointer to

    diff, v14, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeAug 23rd 2020

    added statement of rationalization via PL de Rham theory, by the fundamental theorem of dg-algebraic rational homotopy theory

    diff, v14, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeAug 23rd 2020

    added pointer to:

    diff, v14, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeJul 26th 2021

    added pointer to

    (Incidentally, the abstract says this is “part of an upcoming book”, without further details. Might it be for Stable categories and structured ring spectra?)

    diff, v21, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeJul 26th 2021
    • (edited Jul 26th 2021)

    thanks to Charles for confirming (here) so I have expanded this out to:

    diff, v22, current

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