2 citations · 3 across the 2 of their papers we have counts for
5 papers · 1 filter
Double Fibrations
Geoffrey Cruttwell, Michael Lambert, Dorette Pronk +1
This paper defines double fibrations (fibrations of double categories) and describes their key examples and properties. In particular, it shows how double fibrations relate to exis…
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…
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…
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…
Tannaka Theory over Sup-Lattices
Martín Szyld
The main result of this thesis is the construction of a tannakian context over the category of sup-lattices, associated with an arbitrary Grothendieck topos, and the attainment of…