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    • CommentRowNumber1.
    • CommentAuthorEric
    • CommentTimeNov 3rd 2009

    I created cone morphism and immediately realized I needed help.

    I thought it was cool when I finally understood it after staring at it a few times at Understanding Constructions in Set. However, my understanding is in terms of objects and components of cones, but there is probably some slick way to define it all in one fell swoop.

    • CommentRowNumber2.
    • CommentAuthorEric
    • CommentTimeNov 3rd 2009

    I managed to straighten out some of the initial mess, but would still be interested in a "component free" definition as a supplement to what is there (if possible).

    I added a bit about "pulling back" cones, which probably needs blessing so that I can remove the "tentative" warning.

    • CommentRowNumber3.
    • CommentAuthorFinnLawler
    • CommentTimeNov 3rd 2009

    Some attempted answers for Eric.

    • CommentRowNumber4.
    • CommentAuthorEric
    • CommentTimeNov 4th 2009

    Thanks Finn. I think I understand what you were trying to tell me now and added a statement "whose component is \phi:c\to c'" to the definition (although it was probably obvious). Thanks again!

    • CommentRowNumber5.
    • CommentAuthorFinnLawler
    • CommentTimeNov 4th 2009

    No problem, Eric. I edited the page a bit to try to clarify the point that you've just grokked.

    • CommentRowNumber6.
    • CommentAuthorEric
    • CommentTimeNov 4th 2009

    Beautiful!

    By the way, where you say i,j\in C, should that be i,j\in J? Just checking...

    • CommentRowNumber7.
    • CommentAuthorFinnLawler
    • CommentTimeNov 5th 2009

    Yes, typo -- well spotted. Fixed.

    • CommentRowNumber8.
    • CommentAuthorvarkor
    • CommentTimeDec 9th 2023

    Is it worth having a separate page for this, rather than moving the content to cone?

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeDec 10th 2023

    Right, let’s move the little bit of content that is here and clear this page.

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeDec 10th 2023

    Found a free minute. Have cleared the entry and merged its content into cone in the section Cones over a diagram (as logged in the thread there)

    diff, v18, current