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    • CommentRowNumber1.
    • CommentAuthorDavid_Corfield
    • CommentTimeJan 13th 2016

    Started lift.

    weak factorization system has redirects from: lifting property, right lifting property, left lifting property, lifting problem, lifting problems.

    Would it be better to have these redirect to lift?

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJan 13th 2016

    Thanks. True, the entire paragraph “Preliminaries” would deserve to have a dedicated entry. You could copy that over to “lift” and redirect the redirects accordingly.

    • CommentRowNumber3.
    • CommentAuthorDavid_Corfield
    • CommentTimeJan 14th 2016

    Ok, have done that, but no doubt there’s a better arrangement at lift.

    • CommentRowNumber4.
    • CommentAuthorJohn Baez
    • CommentTimeDec 5th 2018

    The lift of a morphism f:YBf: Y\to B along an epimorphism (or more general map) p:XBp:X\to B is a morphism f˜:YX\tilde{f}: Y\to X such that f=pf˜f = p\circ\tilde{f}.

    I changed “the” here to “a”.

    diff, v12, current

    • CommentRowNumber5.
    • CommentAuthorDavid_Corfield
    • CommentTimeDec 6th 2018
    • (edited Dec 6th 2018)

    Looking at extension where it has dually

    The extension of a morphism…

    it doesn’t seem so clearly wrong. I guess there’s ambiguity between ’extension’ as the act of extending and as an instance of so extending, as you see in the second paragraph of lift

    The dual problem is the extension of a morphism…

    I’ll change ’the’ to ’a’ at extension.

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeOct 7th 2021

    Following discussion in another thread here, I have created a new section

    and filled it with material that, up to some superficial first polishing by me, has kindly been written by the Anonymous Guest from that thread (copied over from Sandbox rev 2402, where it was first compiled as Sandbox rev 2401).

    As I write in that other thread, I think there is much room to polish this material up and make it more readable and more use-friendly, but I think it’s great to have this considerable list of examples now. Maybe it inspires more readers here to join in and try their hand at some editing.

    diff, v15, current

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