7 citations · 25 across the 11 of their papers we have counts for
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math.CT2018★ 1 cited
Lifting PIE limits with strict projections
Martin Szyld
We give a unified direct proof of the lifting of PIE limits to the 2-category of algebras and (pseudo) morphisms, which specifies precisely which of the projections of the lifted l…
math.CT2018★ 1 cited
A localization of bicategories via homotopies
M. E. Descotte, E. J. Dubuc, M. Szyld
Given a bicategory C and a family W of arrows of C, we give conditions on the pair (C,W) that allow us to construct the bicategorical localization with respect to W by dealing only…
math.CT2018★ 2 cited
The homotopy relation in a category with weak equivalences
Martin Szyld
We define a homotopy relation between arrows of a category with weak equivalences, and give a condition under which the quotient by the homotopy relation yields the homotopy catego…