15 citations · 32 across the 10 of their papers we have counts for
10 papers
Steenrod coalgebras III. The fundamental group
Justin R. Smith
In this note, we extend earlier work by showing that if and are delta-complexes (i.e. simplicial sets without degeneracy operators), a morphism of Steenrod…
Steenrod coalgebras of simplicial complexes
Justin R. Smith
In this paper, we extend earlier work by showing that if and are simplicial complexes (i.e. simplicial sets whose simplices are determined by their vertices), a morphism $g…
Steenrod coalgebras
Justin Smith
This paper shows that a functorial version of the "higher diagonal" of a space used to compute Steenrod squares actually contains far more topological information --- including (in…
-coalgebras determine fundamental groups
Justin R. Smith
In this paper, we extend earlier work by showing that if and are simplicial complexes (i.e. simplicial sets whose nondegenerate simplices are determined by their vertices),…
Cellular coalgebras over the Barratt-Eccles operad I
Justin R. Smith
This paper considers a class of coalgebras over the Barratt-Eccles operad and shows that they classify Z-completions of pointed, reduced simplicial sets. As a consequence, they enc…
Cofree coalgebras over operads II Homology invariance
Justin R. Smith
This paper proves that homology equivalences of cogenerating complexes induce homology equivalences of the cofree coalgebras in many interesting cases. We show that the underlying…