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    • CommentRowNumber1.
    • CommentAuthorTodd_Trimble
    • CommentTimeDec 2nd 2009

    Does anyone reading this know some nice conditions under which, given an endofunctor F: C \to C on a cartesian closed category for which the end

    \int_{c: C} c^{c^{F c}}

    exists, that this is the initial algebra for F? I can prove without any more extra assumptions that this end carries a weakly initial F-algebra structure, but I can't prove it to be initial in general. I thought I recalled seeing discussion about this somewhere, but I don't recall where.

    • CommentRowNumber2.
    • CommentAuthorTobyBartels
    • CommentTimeDec 4th 2009

    I don't know either, but I'd like to see the answer. Have you tried the categories mailing list or MathOverlow?