This article is cited in 21 papers

On the notion of geometric realization

V. G. Drinfeld

University of Chicago

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).

Key words and phrases: Simplicial set, cyclic set, geometric realization, cyclic homology, fiber functor.

MSC: 18G30, 55U10, 19D55

Received: May 5, 2003

Language: English

DOI: 10.17323/1609-4514-2004-4-3-619-626

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