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nLab > Latest Changes: lax-idempotent 2-monad

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  1.  
    • CommentRowNumber1.
    • CommentAuthorJohn Baez
    • CommentTimeAug 14th 2020

    I corrected an apparent typo:

    A 2-monad TT as above is lax-idempotent if and only if for any TT-algebra a:TA→Aa \colon T A \to A there is a 2-cell θ a:1⇒η∘a\theta_a \colon 1 \Rightarrow \eta \circ a

    to

    A 2-monad TT as above is lax-idempotent if and only if for any TT-algebra a:TA→Aa \colon T A \to A there is a 2-cell θ a:1⇒η A∘a\theta_a \colon 1 \Rightarrow \eta_A \circ a

    It might be nice to say η A\eta_A is the unit of the algebra….

    diff, v22, current

    • CommentRowNumber2.
    • CommentAuthorzskoda
    • CommentTimeSep 27th 2022

    For the reference

    it seems that the pdf link does not work any more. It is also referred as such at author’s webpage.

    • CommentRowNumber3.
    • CommentAuthoranuyts
    • CommentTimeFeb 28th 2023

    Link to lax-idempotent 2-adjunctions for equivalent conditions.

    diff, v27, current

    • CommentRowNumber4.
    • CommentAuthorvarkor
    • CommentTimeApr 22nd 2023

    Add redirects for the “pseudomonad” notions.

    diff, v29, current

    • CommentRowNumber5.
    • CommentAuthorvarkor
    • CommentTimeJun 23rd 2023

    Mention the adjointness characterisation.

    diff, v30, current

1 to 5 of 5

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