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nLab > Latest Changes: Exponential ideal

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    • CommentRowNumber1.
    • CommentAuthorhugopaquet
    • CommentTimeSep 23rd 2016
    I think I've found a mistake in the entry on exponential ideals (https://ncatlab.org/nlab/show/exponential+ideal).

    It states that any exponential ideal is itself cartesian closed, but I don't see why it would necessarily
    be closed under products.

    I've removed the statement for now, let me know if I missed something obvious.
    • CommentRowNumber2.
    • CommentAuthorTodd_Trimble
    • CommentTimeSep 23rd 2016

    Quick click: exponential ideal (click on Source to see the syntax).

    • CommentRowNumber3.
    • CommentAuthorMike Shulman
    • CommentTimeSep 23rd 2016

    Hmm. I guess in the generality of the definition, you’re right (although I can’t think offhand of a counterexample). Probably the statement crept in there because exponential ideals are often reflective, in which case they are closed under products.

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