522 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Instituto Superior TécnicoPT53 papers
- University of LisbonPT24 papers
- Centro de MatemáticaPT10 papers
- Universidade Técnica de LisboaPT9 papers
- University of MinhoPT9 papers
- Iscte – Instituto Universitário de LisboaPT4 papers
- Universidade do PortoPT4 papers
- Universidade Federal do Rio de JaneiroBR3 papers
- University of TurinIT3 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Heriot-Watt UniversityGB2 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di TorinoIT2 papers
6 papers · 1 filter
Higher Vector Bundles
Matias del Hoyo, Giorgio Trentinaglia
We introduce higher analogs for cleavages in the context of (Kan) simplicial fibrations. We apply them to obtain geometric models for representations up to homotopy of (higher) Lie…
Actions of étale-covered groupoids
Juan Pablo Quijano, Pedro Resende
By restricting to a class of localic open groupoids which, similarly to Lie groupoids, possess appropriate covers by étale groupoids, we extend results about…
Effective equivalence relations and principal quantales
Juan Pablo Quijano, Pedro Resende
Stably supported quantales generalize pseudogroups and provide an algebraic context in which to study the correspondences between inverse semigroups and étale groupoids. Here we st…
Functoriality of groupoid quantales. II
Juan Pablo Quijano, Pedro Resende
Taking advantage of the quantale-theoretic description of étale groupoids we study principal bundles, Hilsum-Skandalis maps, and Morita equivalence in terms of modules on inverse q…
Open maps of involutive quantales
Pedro Resende
By a map of involutive quantales is meant a homomorphism . Calling a map weakly open if has a left adjoint which satisfies the Frobenius reci…
The fundamental Gray 3-groupoid of a smooth manifold and local 3-dimensional holonomy based on a 2-crossed module
Joao Faria Martins, Roger Picken
We define the thin fundamental Gray 3-groupoid of a smooth manifold and define (by using differential geometric data) 3-dimensional holonomies, to be smooth strict Gra…