46 citations · 197 across the 31 of their papers we have counts for
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math.CT2021★ 4 cited
Categories of graphs for operadic structures
Philip Hackney
We recall several categories of graphs which are useful for describing homotopy-coherent versions of generalized operads (e.g. cyclic operads, modular operads, properads, and so on…
math.AT2021★ 6 cited
An -categorical pasting theorem
Philip Hackney, Viktoriya Ozornova, Emily Riehl +1
We show that any pasting diagram in any -category has a homotopically unique composite. This is achieved by showing that the free 2-category generated by a pasting sche…
math.CT2021★ 1 cited
Induced model structures for higher categories
Philip Hackney, Martina Rovelli
We give a new criterion guaranteeing existence of model structures left-induced along a functor admitting both adjoints. This works under the hypothesis that the functor induces id…