Tuesday 18 September 2007

at.algebraic topology - Simplicial homotopy book suggestion for HTT computations

Echoing what Urs said, "But you should all be using the nLab more: if you want literature on quasi-categories, look up the references section on quasi-categories! :-) " and in regard to your question in particular, "See the nLab page on simplicial sets for links."



By looking at this nLab page on simplicial sets, in the references section you'll have found (as of this date, July 21, 2011 10:19 pm, EST):



Greg Friedman: An elementary illustrated introduction to simplicial sets



which is chock full of pictures illustrating the geometric ideas underlying the combinatorics of simplicial sets. As Friedman discusses in the introduction on the second and third pages of this paper,




"Here, for the most part, you won't
find many complete proofs of theorems,
and so these notes will not be
completely self-contained. Rather, I
try primarily to show by example how
the very basic combinatorics,
including the definitions, arise out
of geometric ideas and to show the
geometric ideas underlying the most
elementary proofs and properties."




Suffice it to say, those notes may be the end of your search in finding a concise introduction to simplicial sets that also helps develop your geometric intuition and the computation of products. You also might find the references I gave in answer to the question here helpful.

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