Justin R. Smith

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19982014

most citedm-structures determine integral homotopy type

15 citations · 32 across the 10 of their papers we have counts for

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math.AT2013

$S$ -coalgebras determine fundamental groups

Justin R. Smith

In this paper, we extend earlier work by showing that if $X$ and $Y$ are simplicial complexes (i.e. simplicial sets whose nondegenerate simplices are determined by their vertices),…

math.AT2013★ 2 cited

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…

S-coalgebras determine fundamental groups

Cellular coalgebras over the Barratt-Eccles operad I

$S$ -coalgebras determine fundamental groups