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Keywords:
simplicial object; locally convex algebra; topological space
simplicial object; locally convex algebra; topological space
Summary:
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.
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