Algebra Seminar: Stevenson -- A classical theorem for simplicial sets, revisited

Daniel Stevenson (University of Adelaide) 

Friday 27 September, 12-1pm, Place: Carslaw 375 

Title: A classical theorem for simplicial sets, revisited 

Abstract: 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.  In particular we will show how, by adopting a more
categorical viewpoint, one may give a simple proof of an old theorem of Kan’s relating
the classifying space functor and the simplicial loop group functor.