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May 11, 2014 at 8:05 comment added Kolya Ivankov Thanks for the answer and the comment. No, I wrote my PhD in Bonn, presently I'm in Goettingen, just haven't updated my profile.
May 10, 2014 at 16:13 comment added Daniel Gerigk I wrote (somewhat sloppy) that "what you're asking for should be possible". Perhaps this is misleading. As Karol pointed out, it is not possible to obtain a simplicial set (which then is an $\infty$-category) from a semi-simplicial set satisfying the inner horn conditions just by adding degeneracy maps. So the immediate analogue of McClure's Theorem 5.3 does not hold, of course. What I had in mind was "building" a cat, i.e. not only adjoining degeneracy maps, but also degenerate simplices.
May 10, 2014 at 4:06 history edited Daniel Gerigk CC BY-SA 3.0
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May 10, 2014 at 2:03 comment added Daniel Gerigk @Kolya Are you in Bonn, too?
May 10, 2014 at 1:43 history answered Daniel Gerigk CC BY-SA 3.0