7 citations · 25 across the 11 of their papers we have counts for
11 papers
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…
Entanglement between charge qubit states and coherent states of nanomechanical resonator generated by AC Josephson effect
O. M. Bahrova, L Y. Gorelik, S. I. Kulinich
We considered a nanoelectromechanical system consisting of a movable Cooper-pair box qubit which is subject to an electrostatic field, and coupled to the two bulk superconductors v…
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…
A general limit lifting theorem for 2-dimensional monad theory
Martin Szyld
We give a definition of weak morphism of -algebras, for a -monad , with respect to an arbitrary family of -cells of the base -category. By considering particular…
A construction of certain weak colimits and an exactness property of the 2-category of categories
M. E. Descotte, E. J. Dubuc, M. Szyld
Given a 2-category , a -functor and a distinguished 1-subcategory containing all t…
Tannaka Theory for Topos
Eduardo J. Dubuc, Martin Szyld
We consider locales as algebras in the tensor category of sup-lattices. We show the equivalence between the Joyal-Tierney descent theorem for open localic surjections $…
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…
On Tannaka Duality
Martín Szyld
The purpose of this work is twofold: to expose the existing similarities between the generalizations of the Tannaka and Galois theories, and on the other hand, to develop in detail…
A Tannakian Context for Galois
Eduardo J. Dubuc, Martin Szyld
Strong similarities have been long observed between the Galois (Categories Galoisiennes) and the Tannaka (Categories Tannakiennes) theories of representation of groups. In this pap…