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Mar 13, 2011 at 17:44 comment added Finn Lawler Sorry, Harry, I didn't see your new answer: that seems to be what you're doing.
Mar 13, 2011 at 17:40 history edited Finn Lawler CC BY-SA 2.5
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Mar 13, 2011 at 17:39 comment added Finn Lawler Well, I did say I could easily be wrong :). Torsten's answer gives a clearer picture: $L_n$ is the set of sieves on [n] in $\Delta$. It may well be possible to give a more concrete description of these sets, given how $\Delta$ is generated from [0], [1] and [2].
Mar 13, 2011 at 17:20 comment added Andrej Bauer Yes, I understand that, I am just pointing out the answer has a mistake, lest someone gets the wrong idea.
Mar 13, 2011 at 17:05 vote accept Harry Gindi
Mar 13, 2011 at 17:05 comment added Harry Gindi @Andrej: I had accepted it for the observation that it is the subobject classifier.
Mar 13, 2011 at 11:04 comment added Andrej Bauer The description of $L$ is wrong. It cannot be $1 + 1$, or else simplicial sets would be a boolean topos.
Mar 13, 2011 at 9:49 vote accept Harry Gindi
Mar 13, 2011 at 17:00
Jun 18, 2010 at 1:35 comment added David Roberts I'm sure I've seen it written 'Lawvere interval [object]', but a search brings up nothing.
Jun 17, 2010 at 13:22 history answered Finn Lawler CC BY-SA 2.5