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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeAug 28th 2013

    have created an entry for Bott periodicity

    • CommentRowNumber2.
    • CommentAuthorTodd_Trimble
    • CommentTimeAug 29th 2013

    I haven’t thought about this for quite a long time, but I once had the following “dream”. Might it be possible to prove the Bott periodicity (say complex Bott periodicity, to keep things simple in the beginning), say in the form K(X×S 2)K(X)K(S 2)=K(X)[η]/(η1) 2K(X \times S^2) \cong K(X) \otimes K(S^2) = K(X)[\eta]/(\eta - 1)^2, by calculating K(S 2)K(pt)[η]/(η1) 2K(S^2) \cong K(pt)[\eta]/(\eta - 1)^2 constructively and interpreting that calculation in the topos of sheaves over XX?