On the notion of geometric realization

Abstract

We explain why geometric realization commutes with Cartesian products and why the geometric realization of a simplicial set (resp. cyclic set) is equipped with an action of the group of orientation preserving homeomorphisms of the segment [0,1] (resp. the circle). Our approach is very similar to that of A. Besser and D. Grayson.

Corrected a mistake. (The mistake is described in the "Warning" on p.9.)

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