Etendues and stacks as bicategories of fractions
Exponential laws for topological categories, groupoids and groups, and mapping spaces of colimits
Exponential mapping for Lie groupoids. Applications
Group-groupoid.
Groupoids and the Brauer group
Groupoids, stability cokernel sequences and duality
Higher dimensional algebra. VII: Groupoidification.
Homomorphisms of ergodic group actions and conjugacy of skew product actions.
Internal categories in a left exact cosimplicial category.
Left-Garside categories, self-distributivity, and braids
In connection with the emerging theory of Garside categories, we develop the notions of a left-Garside category and of a locally left-Garside monoid. In this framework, the relationship between the self-distributivity law LD and braids amounts to the result that a certain category associated with LD is a left-Garside category, which projects onto the standard Garside category of braids. This approach leads to a realistic program for establishing the Embedding Conjecture of [Dehornoy, Braids and...
Limites et co-limites pour représenter les formules
Mono-sous-catégories d'une catégorie de modules
More morphisms between bundle gerbes.
Morita duality for monoids.
Near-group categories.
Note on homotopy pullbacks in abelian categories
On inverse categories with split idempotents
We present some special properties of inverse categories with split idempotents. First, we examine a Clifford-Leech type theorem relative to such inverse categories. The connection with right cancellative categories with pushouts is illustrated by simple examples. Finally, some basic properties of inverse categories with split idempotents and kernels are studied in terms of split idempotents which generate (right or left) principal ideals of annihilators.
On -fuzzy Petri nets.
On several varieties of cacti and their relations.
On the equation xt- » xt+q in categories.