Tom\'a\v s Crh\'ak
A construction of simplicial objects

Comment.Math.Univ.Carolinae 42,1 (2001) 1-21.

Abstract: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.

Keywords: simplicial object, locally convex algebra, topological space
AMS Subject Classification: 18, 55

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