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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeNov 6th 2010
    • (edited Nov 6th 2010)

    I made the following obvious fact more manifest in the respective nnLab entries:

    a pregeometry (for structured (infinity,1)-toposes) 𝒯\mathcal{T} is a special case of a (multi-sorted) (infinity,1)-algbraic theory.

    A structure \infty-sheaf

    𝒪:𝒯𝒳 \mathcal{O} : \mathcal{T} \to \mathcal{X}

    on 𝒳\mathcal{X} is an \infty-algebra over this \infty-algebraic theory in 𝒳\mathcal{X}. The extra conditions on it ensure that it indeed looks like a sheaf of function algebras .

    (I added a respective remark to the discussion of pre-geometries and added an Example-sectoin with this to the entry of oo-alghebraic theories.)

    • CommentRowNumber2.
    • CommentAuthorzskoda
    • CommentTimeNov 7th 2010

    The link should be to (infinity,1)-algebraic theory.