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nLab > Latest Changes: linear extension of a partial order

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJan 27th 2019

    bare minimum, for the moment just so that one may link to it

    v1, current

    • CommentRowNumber2.
    • CommentAuthorTodd_Trimble
    • CommentTimeJan 28th 2019

    Wrote down a proof appealing to a compactness argument (hence requiring only the ultrafilter principle).

    diff, v3, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeJan 28th 2019

    Thanks, Todd!

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeMay 27th 2022

    In the paragraph on topological orders (below the first definition) it says “the linear extension”, while the definition before only introduces “a linear extension”. Probably this should be “the universal linear extension”?

    diff, v6, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeMay 27th 2022

    Hm, checking on Wikipedia, it looks like any linear extension of a graph reachability is called a topological order. So I have changed (here) “the” to “any”.

    diff, v6, current

1 to 5 of 5

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