1 citations · 1 across the 5 of their papers we have counts for
5 papers · 1 filter
Localizing Restriction Categories
Robin Cockett
The localizing/separating factorization, which is the analogue, for restriction categories, to the surjective/embedding factorization for topoi, is developed at both the mere restr…
Drazin Inverses in Categories
Robin Cockett, Jean-Simon Pacaud Lemay, Priyaa Varshinee Srinivasan
Drazin inverses are a fundamental algebraic structure which have been extensively deployed in semigroup theory, ring theory, and matrix theory. Drazin inverses can also be defined…
Latent Fibrations: Fibrations for Categories of Partial Maps
Robin Cockett, Geoff Cruttwell, Jonathan Gallagher +1
Latent fibrations are an adaptation, appropriate for categories of partial maps (as presented by restriction categories), of the usual notion of fibration. The paper initiates the…
Generalising the étale groupoid--complete pseudogroup correspondence
Robin Cockett, Richard Garner
We prove a generalisation of the correspondence, due to Resende and Lawson--Lenz, between étale groupoids---which are topological groupoids whose source map is a local homeomorphis…
Compact inverse categories
Robin Cockett, Chris Heunen
The Ehresmann-Schein-Nambooripad theorem gives a structure theorem for inverse monoids: they are inductive groupoids. A particularly nice case due to Jarek is that commutative inve…