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    • CommentRowNumber1.
    • CommentAuthorbarakat
    • CommentTimeAug 20th 2014
    Corrected the associated monad in reflective subcategory:

    ---
    The monad (Q^* Q_*,Q^*\varepsilon Q_*,\eta) associated with the adjunction
    ->
    The monad (Q_* Q_^*,\varepsilon,Q_* \eta Q_^*) associated with the adjunction
    ---
    • CommentRowNumber2.
    • CommentAuthorzskoda
    • CommentTimeAug 21st 2014
    • (edited Aug 21st 2014)

    This is still incorrect. The monad has the multiplication Q *εQ *Q_*\varepsilon Q^* and unit η\eta. Corrected.

    By the way there are already several threads with title reflective subcategory (and under latest changes) and it better classifies if new discussion with the same title and topic continues the old one, e.g. http://nforum.mathforge.org/discussion/1506/reflective-subcategory, http://nforum.mathforge.org/discussion/4429/reflective-subcategory, http://nforum.mathforge.org/discussion/446/reflective-subcategory

    • CommentRowNumber3.
    • CommentAuthorbarakat
    • CommentTimeAug 21st 2014
    • (edited Aug 21st 2014)
    Oh, yes, sure, I oversaw that \varepsilon, as in the line above, is the counit. Thanks :)

    (Is there a convention of what to write first in the triple: the multiplication then then unit or vice versa?)
    • CommentRowNumber4.
    • CommentAuthorzskoda
    • CommentTimeAug 21st 2014

    The unit is superfluous anyway, so some people write without the unit. Then, the least important at the end, to most users, but it is not completely universal convention here.