On the notion of geometric realization

Details On the notion of geometric realization On the notion of geometric realization

2003-04-04

arxiv.org/abs/math/0304064v3

Mathematics

Category Theory

9 pages, Latex; epigraph added

Scientific paper

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.

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