Geodesic
A construction of simplicial objects
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 1, pp. 1-21.

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We construct a simplicial locally convex algebra, whose weak dual is the standard cosimplicial topological space. The construction is carried out in a purely categorical way, so that it can be used to construct (co)simplicial objects in a variety of categories --- in particular, the standard cosimplicial topological space can be produced.
Classification : 18A40, 18G15, 18G30, 18G55, 46M18, 55U35
Keywords: simplicial object; locally convex algebra; topological space 
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Crhák, Tomáš. A construction of simplicial objects. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 1, pp. 1-21. http://geodesic.mathdoc.fr/item/CMUC_2001__42_1_a0/