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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeDec 7th 2013

    I am feeling a bit silly about the following, as this is probably easy and I must be being dense, but I’ll throw this out as a question now anyway:

    given an -functor f:XY between -groupoids, we get an induced pullback

    f*:EMod(Y)EMod(X)

    for E any E-ring and EMod()Func(,EMod) the -category of E--modules on X.

    This f* should be closed monoidal, I suppose. I can see a pseudo-proof, but I am a bit stuck with making it a rigorous proof. Can anyone help?

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeDec 7th 2013
    • (edited Dec 7th 2013)

    Ah, I realize that I am looking here exactly for the -version of Mike’s article

    The context is example 2.2 there, with V now the -category EMod, and I am after the -analog of the consequence example 2.17 of theorem 2.14 there.

    With a minimum of enriched -category theory all this should just go through verbatim…