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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeDec 29th 2009

    expanded the Idea-section at schreiber:oo-Lie differentiation and integration and polished the section of oo-Lie diffeentiation somewhat, following the blog discussion here

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeDec 29th 2009

    somewhat complementary to the above, added now also to schreiber:path oo-groupoid a section Inclusion of infinitesimal paths that provides the basis for integration of oo-Lie algebroid valued differential forms.

    In the blog comment to John Baez I said I need to assume representables to be contractible for this to work, but now I think it works generally. I might be making a mistake, though...

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeDec 29th 2009

    er, there's a problem with what I wrote. I'll fix it later, gotta run now...

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeDec 30th 2009
    • (edited Jan 20th 2010)

    My claim yesterday of the weak equivalence  \Pi^{inf}(X) \simeq \Pi(X) was bogus.

    I removed the corresponding discussion and replaced at schreiber:integration of oo-Lie algebroid valued forms the affecteed discussion with a (hopefully) correct new discussion

    following the blog discussion I also expanded the Idea-section at schreiber:oo-Lie algebroid

    I also improved the definition there. Now the definition uses notions entirely internal to oo-Lie groupoids. The previous definition in terms of Chevalley-Eilenberg algebras is now a consequence of the new definition.