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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeNov 15th 2013
    • (edited Nov 15th 2013)

    now the preprint referred to at tangent cohesive (infinity,1)-topos is out:

    • CommentRowNumber2.
    • CommentAuthorDavid_Corfield
    • CommentTimeNov 18th 2013

    Can it mostly be seen as working out general constructions in the stable situation?

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeNov 18th 2013
    • (edited Nov 18th 2013)

    Specifically, the article explores the implications of the fact that in the stable context, the canonical figure-8 diagram here that every cohesive homotopy type sits in has both squares being homotopy pullbacks and hence represents every cohesive stable homotopy type XX as a differential cohomology spectrum refining the spectrum Π(X)\Pi(X) by the differential form data dRΣX\flat_{dR}\Sigma X.

    • CommentRowNumber4.
    • CommentAuthorDavid_Corfield
    • CommentTimeNov 18th 2013

    I added Mike’s Cafe post on fracture theorems as a reference to fracture theorem. Seems an interesting topic.