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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeFeb 1st 2010
    • (edited Feb 1st 2010)

    I want to eventually expand the stub entry relation between quasi-categories and simplicial categories. I just added a sentence only to give the entry something like an "Idea" section wher previously there had been just a lonely hyperlink.

    I think the main theme here is that of "semi-strictification". So I added a remark to semi-strict infinity-category. But not really anything satisfactory yet.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeFeb 1st 2010

    I see that we have various leftovers from our first focused run through (oo,1)-categories. Now I edited Segal category slightly, just to make it look a bit better.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeFeb 1st 2010

    created entries Michael Boardman and Rainer Vogt based on the corresponding entries at Joyal's CatLab, but slightly expanded, more hyperlinks.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeFeb 1st 2010

    expanded and rearranged the Idea-section at join of simplicial sets in order to make it more usefully introductory.

    There is stil that Spanier-reference being mentioned there, without publication details being specified.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeFeb 1st 2010

    at join of quasi-categories I made explicit that there are two different definitions, that yield different results, which are equivalent in the Joyal model structure

    I got annoyed by the fact that we have kept the Quillen- and the Joyal-model structure together at model structure on simplicial sets. That's useful fo some purposes, but not so much for others. So I started model structure on quasi-categories making Joyal model structure redirect to it.

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeFeb 1st 2010

    created stub for model structure on sSet-categories

    (am slowly beginning to fill relation between quasi-categories and simplicial categories with life -- very slowly)

    • CommentRowNumber7.
    • CommentAuthorMike Shulman
    • CommentTimeFeb 1st 2010

    I got annoyed by the fact that we have kept the Quillen- and the Joyal-model structure together at model structure on simplicial sets.

    Yes, they should be separate.

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeFeb 1st 2010

    I started wondering about terminology:

    first I had "model structure on quasi-categories" but since that seemed to collide with the way all other similar entries are called, I now renamed it to "model structure for quasi-categories".

    • CommentRowNumber9.
    • CommentAuthorTim_Porter
    • CommentTimeFeb 1st 2010

    I have added something to join of simplicial sets and have created an entry for Edwin Spanier and his book.

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeFeb 1st 2010
    • (edited Feb 1st 2010)

    Thanks! And nice intro example. Maybe we even get a picture of a tetrahedron from somewhere...

    (And by the way, sorry for not having gotten back to your email. But I need to get something else out of the way first...)

    • CommentRowNumber11.
    • CommentAuthorTobyBartels
    • CommentTimeFeb 2nd 2010

    Maybe we even get a picture of a tetrahedron from somewhere...

    Done.

    I also put the Motivating Examples in their own section.

    • CommentRowNumber12.
    • CommentAuthorUrs
    • CommentTimeFeb 2nd 2010
    • (edited Feb 2nd 2010)

    Hey, nice, Toby. Thanks. Now that's a tetrahedron.

    In the long run, I may feel we should shrink it just slightly. Is it just me or is this filling almost half the screen? :-)

    By the way, Tim: a took the liberty of removing that age-old query box with discussion between the two of us, which seems too have been happily settled long ago.

    • CommentRowNumber13.
    • CommentAuthorTim_Porter
    • CommentTimeFeb 2nd 2010
    Fine. I agree about the nice picture and shrinking it as well!

    I am not sure what extra needs mentioning at the History part.
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