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math.AT2008★ 7 cited
On satellites in arbitrary categories
George Janelidze
We generalize the definition of satellites with respect to presheaves (and copresheaves) with trace in the sense of Inassaridze; a presheaf with trace is replaced by a graph with a…
math.AT2002
Galois theory and a new homotopy double groupoid of a map of spaces
R. Brown, G. Janelidze
The authors have used generalised Galois Theory to construct a homotopy double groupoid of a surjective fibration of Kan simplicial sets. Here we apply this to construct a new homo…