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nLab > Latest Changes: reflective subcategory

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  1.  
    • CommentRowNumber1.
    • CommentAuthorTim_Porter
    • CommentTimeOct 24th 2012

    October 24, 2012 09:26:08 by Anonymous Coward (99.133.144.164) has added a comment questioning the validity of a sentence at reflective subcategory.

    • CommentRowNumber2.
    • CommentAuthorTim_Porter
    • CommentTimeOct 24th 2012

    More comments on this.

    • CommentRowNumber3.
    • CommentAuthorYaron
    • CommentTimeOct 24th 2012

    Attempted to answer…

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeOct 24th 2012
    • (edited Oct 24th 2012)

    Thanks, Yaron.

    But let’s not have discussion inside an entry. It’s hard to follow for those readers here who might want to follow and distracting for those readers of the entry who are looking for information.

    Instead I have turned the original example into what is now (Counter)Example 4 and made your comment be what is now Remark 3 right below it.

    I have slightly edited your comment. For instance where you said that this entry is about full subcategories only I replaced it with a pointer to what is currently Remark 1.

    Let’s have any further discussion here in the discussion forum and only move stable material into the entry.

    • CommentRowNumber5.
    • CommentAuthorYaron
    • CommentTimeOct 24th 2012

    Hi Urs – sure, I will follow these guidelines in the future.

    • CommentRowNumber6.
    • CommentAuthorMike Shulman
    • CommentTimeOct 24th 2012

    I would be more inclined to say ’the non-full inclusion of unital rings into non-unital rings has a left adjoint, but we do not call it a reflective subcategory because it is not full.’ Anyone object?

    • CommentRowNumber7.
    • CommentAuthorTim_Porter
    • CommentTimeOct 24th 2012

    I like that wording.

    • CommentRowNumber8.
    • CommentAuthorMike Shulman
    • CommentTimeNov 3rd 2012

    Implemented.

1 to 8 of 8

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