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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeApr 6th 2018

    Added cross-link with convex function.

    Also hyperlinked various keywords as well as some author names in the list of references.

    diff, v29, current

  1. I changed the reference to Isbell article, for reference to proof that [0,1] is left-adequate, rather than the reference to my paper.

    kirk sturtz

    diff, v31, current

    • CommentRowNumber3.
    • CommentAuthorJohn Baez
    • CommentTimeOct 11th 2021


    A convex space is cancellative if y=zy = z whenever c p(x,y)=c p(x,z)c_p(x,y) = c_p(x,z) for some cc and p0p \ne 0.

    which should read

    A convex space is cancellative if y=zy = z whenever c p(x,y)=c p(x,z)c_p(x,y) = c_p(x,z) for some xx and p0p \ne 0.

    diff, v35, current

  2. Added super convex space (link) in related concepts.

    Kirk Sturtz

    diff, v36, current

    • CommentRowNumber5.
    • CommentAuthorJohn Baez
    • CommentTimeFeb 8th 2023


    “The category of convex spaces is an algebraic theory”

    to something I know is true, namely

    “The category of convex spaces is the category of algebras of a Lawvere theory

    diff, v37, current

    • CommentRowNumber6.
    • CommentAuthorJohn Baez
    • CommentTimeFeb 8th 2023

    Pointed out that convex spaces are algebras of a commutative monad; gave references.

    diff, v37, current