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nLab: "Algebraic Real Analysis" and Freyd's theory of Scales

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  1.  
    • CommentRowNumber1.
    • CommentAuthorDean
    • CommentTimeNov 25th 2019
    • (edited Nov 25th 2019)

    We don’t have an article on Peter Freyd’s “algebraic real analysis”. This is related to Tom Leinster’s characterization of L 1L^1 as well. It’s all very interesting work, and it leads to clean proofs of e.g. existence and uniqueness of Haar measure. I was hoping to make an article about these things on Wednesday if that is ok.

    • CommentRowNumber2.
    • CommentAuthorTodd_Trimble
    • CommentTimeNov 26th 2019

    Sure, give it a go!

    • CommentRowNumber3.
    • CommentAuthorDmitri Pavlov
    • CommentTimeNov 26th 2019
    I'd be interested to see at least some references on this matter.
    • CommentRowNumber4.
    • CommentAuthorDean
    • CommentTimeNov 30th 2019
    • (edited Nov 30th 2019)

    Looks like I won’t be free to write it for about half a month. For now, here are two references:

    1) Peter Freyd’s Algebraic Real Analysis

    2) Tom Leinster’s characterization of L^1

    I think it is also related to convex sets and the Giry+monad.

1 to 4 of 4

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