A classical construction for simplicial sets revisited

Danny Stevenson (University of Glasgow)

Monday 21st March, 2011 16:00-17:00 204


Simplicial sets became popular in the 1950s as a combinatorial way to study the homotopy theory of topological spaces. They are more robust than the older notion of simplicial complexes, which were introduced for the same purpose. In this talk we will review some classical functors arising in the theory of simplicial sets, some well-known, some not-so-well-known. We will re-examine the proof of an old theorem of Kan in light of these functors. If time permits we will describe some generalizations.

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