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Oct 30, 2010 at 16:10 comment added David Carchedi @Somnath: Since you say you are a newbie with category theory, perhaps my answer is a little "high-browed". May I suggest you take a look at Section VII.2 of "Sheaves in Geometry and Logic", about tensoring functors (taking co-ends). An explicit description of how to compute such tensors is given. I suggest you work through yourself proving that the co-end I claim is in fact the same as Segal's construction, as doing this yourself will certainly make things much more clear for you than anything I can say.
Oct 30, 2010 at 16:04 comment added David Carchedi @Chris: I'm not sure, but, I am very interested if you find out! I'll ask around and likewise let you know.
Oct 29, 2010 at 5:15 comment added Chris Schommer-Pries Do we know if the fat realization agrees (up to weak homotopy equivalence) with the realization obtained from the coherent nerve?
Oct 29, 2010 at 1:26 history edited David Carchedi CC BY-SA 2.5
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Oct 29, 2010 at 1:03 history answered David Carchedi CC BY-SA 2.5