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nLab > Latest Changes: strict epimorphism

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  1.  
    • CommentRowNumber1.
    • CommentAuthorDmitri Pavlov
    • CommentTimeApr 22nd 2023

    Added:

    diff, v10, current

    • CommentRowNumber2.
    • CommentAuthorDmitri Pavlov
    • CommentTimeApr 23rd 2023

    Both sources given in this article assume the category has finite limits, and the definition of a strict epimorphism given there coincides with the definition of an effective epimorphism.

    What is the source that defines strict epimorphisms for categories without pullbacks?

    diff, v11, current

  3. I added what seems to be the original reference. I found it in Banaschewski and Bruns, “Categorical Characterization of the MacNeille Completion”.

    Alexander Kurz

    diff, v12, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeAug 3rd 2023

    Thanks. I have slightly adjusted formatting and hyperlinking:

    diff, v13, current

    • CommentRowNumber5.
    • CommentAuthorlinuxmetel
    • CommentTimeAug 27th 2023

    fix a incorrect assertion (ref: https://math.stackexchange.com/questions/4759119)

    diff, v14, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeAug 27th 2023

    Thanks. But best to also add either a proof or a reference.

    • CommentRowNumber7.
    • CommentAuthorDmitri Pavlov
    • CommentTimeDec 12th 2023

    Added:

    See also Definition 2.1 in

    diff, v15, current

1 to 7 of 7

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