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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 T as above is lax-idempotent if and only if for any T-algebra a:TA→A there is a 2-cell θa:1⇒η∘a

    to

    A 2-monad T as above is lax-idempotent if and only if for any T-algebra a:TA→A there is a 2-cell θa:1⇒ηA∘a

    It might be nice to say ηA 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

    • CommentRowNumber6.
    • CommentAuthorvarkor
    • CommentTimeOct 17th 2024

    Added another reference of Marmolejo.

    diff, v35, current

  7. I noticed while working out the definition that the condition was ported from the lax idempotent adjunction page, but the case for monads is simpler since we already have that μA∘TηA is iso to the identity.

    Quentin

    diff, v36, current

1 to 7 of 7

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