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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMay 3rd 2014
    • (edited May 3rd 2014)

    Mike kindly wrote model of type theory in an (infinity,1)-topos (homotopytypetheory) with an explicit statement of how univalent Tarskian types-of-types have semantics by object classifiers in general \infty-toposes.

    I have added a brief pointer to this to some relevant nnLab entries: to homotopy type theory, to relation between category theory and type theory, to (infinity,1)-topos and to elementary (infinity,1)-topos.