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nLab > Latest Changes: continuous functor

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJun 1st 2023

    added pointer to:

    removed the following ancient query box discussion:

    +–{.query} Left I could understand, but right? —Toby

    The way I rewrote it explains it. It is unfortunate that the Eilenberg-Watts theorem treated in Bass was using only right adjoint functors so later they dropped word right. – Zoran

    Thanks. —Toby =–

    diff, v12, current

    • CommentRowNumber2.
    • CommentAuthorTodd_Trimble
    • CommentTimeJun 1st 2023

    I’ve done some reorganization, phrasing limit preservation in terms of universal cones (so that we don’t have to stipulate that limF∘A\lim F \circ A exists before saying that F(limA)F(\lim A) is going to fulfill that role anyway), and also laying out how the definition is modified when working with enriched category theory and weighted limits.

    diff, v13, current

    • CommentRowNumber3.
    • CommentAuthorTodd_Trimble
    • CommentTimeJun 1st 2023

    I can’t tell if someone else has been doing edits while I’ve been doing edits, but anyway I put the Examples section before the section on preservation of limits in enriched category theory, because the example of representable functor serves as a good lead-in for the discussion for enriched category theory.

    diff, v13, current

  4. Typo in link prevented resolution

    Dov Mostovicz

    diff, v15, current

1 to 4 of 4

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