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  1. Where should one put a (growing) collection of examples? More specifically, it might be useful to collect examples of various structures (topos, category, Lawvere theory, etc) as well as some concrete computations (end, limit, etc) to provide concrete illustrations of certain concepts. Naturally, a few examples 'fit' well within the page which defines these concepts, but say we had 150 examples of categories -- they really ought to be organized separately from the category page.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeApr 20th 2010

    Yes, good point.

    So far we have very few pages where the number of examples made us create a separate page for these. One page I can think of is limits and colimits by example.

    There was also once an attempt to create a database of categories-page.

    So I think the anwer is: we do not yet have any established tradition for how to organize separate examples-pages. But eventually there should be one.

  2. Excellent - the database of categories was exactly the kind of page I had in mind (and had not yet stumbled upon). And I completely agree with John Baez's comment that without listing some of the basic properties of those categories, such a list would be large and largely useless. I am fairly fond of the large collection of examples in The Joy of Cats which really illustrate abstract concepts quite well.