2 citations · 4 across the 4 of their papers we have counts for
4 papers
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…
Principal bundles of open groupoids
Juan Pablo Quijano
Taking into account the correspondence between open groupoids and their quantales, we establish a bijective correspondence between the principal -bundles whose left projection i…
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…