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.
@article{119220,
author = {Tom\'a\v s Crh\'ak},
title = {A construction of simplicial objects},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {42},
year = {2001},
pages = {1-21},
zbl = {1051.18009},
mrnumber = {1825369},
language = {en},
url = {http://dml.mathdoc.fr/item/119220}
}
Crhák, Tomáš. A construction of simplicial objects. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) pp. 1-21. http://gdmltest.u-ga.fr/item/119220/