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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJul 5th 2011

    started to add to internalization a list of links to examples. Probably we have much more.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJul 5th 2011
    • (edited Jul 5th 2011)

    here is the list of examples of internalization currently listed at internalization:

    Which entries to link to have I still forgotten?

    • CommentRowNumber3.
    • CommentAuthorzskoda
    • CommentTimeJul 5th 2011
    • (edited Jul 5th 2011)

    Why the default first choice of terminology is not chosen uniformly ? I mean if internal groupoid is the default, then internal group would be also default. By the way, I was surprised that the latter was not even a redirect (I added it).

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJul 5th 2011

    Why the default first choice of terminology is not chosen uniformly ?

    Because nobody took care to make it uniform when these entries were created over the last years!

    • CommentRowNumber5.
    • CommentAuthorzskoda
    • CommentTimeJul 5th 2011
    • (edited Jul 5th 2011)

    I made some changes to the section on presheaf approach in group object aka internal group, including formulating a proposition. The way it is organized now is pretty confusing, that is why I prefer to have a clear proposition statement and then the rest is kind of proof. But it is a bit strange, e.g. there is a mention of supermanifolds in the proof! Could you look at my changes and see if this can be further improved ? Also did I correctly use the word “creates” in the proposition ?

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJul 5th 2011

    Thanks, Zoran, for looking into this.

    I have removed the weird “of supermanifolds”. Clearly this is a leftover of some copy-and-pasting from the discussion of supergroups.

    • CommentRowNumber7.
    • CommentAuthorTobyBartels
    • CommentTimeJul 7th 2011

    Mostly, it seems that ‘X object’ is for things that are normally just structured sets, while ‘internal X’ is for things that are a bit fancier (higher dimensional in the categorial sense). The distinction on the Lab probably comes from (at least historical, and as far as I know contemporary) practice in the literature.

    • CommentRowNumber8.
    • CommentAuthorDavid_Corfield
    • CommentTimeMay 13th 2019

    Added a couple more examples.

    diff, v54, current

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