Derivations of categorical groups.
Des propriétés de finitude des foncteurs polynomiaux
We study finiteness properties, especially the noetherian property, the Krull dimension and a variation of finite presentation, in categories of polynomial functors (notion introduced by Djament and Vespa) from a small symmetric monoidal category whose unit is an initial object to an abelian category. We prove in particular that the category of polynomial functors from the category of free abelian groups ℤⁿ with split monomorphisms to abelian groups is "almost" locally noetherian. We also give an...
Descent for monads.
Description topologique des représentations de
Diagrammes de Penrose et réécriture en dimension
Doubles for monoidal categories.
Dualities of concrete categories
Duality for simple -categories and disks.
Enrichment over iterated monoidal categories.
Entropic Hopf algebras and models of non-commutative logic.
Equivalences of monoidal model categories.
Erratum : Nilpotence, radicaux et structures monoïdales
Erratum “On braidings, syllepses, and symmetries”
Examples of tensor categories.
Existence of nontrivial stochastic monoids.
Exponential laws for topological categories, groupoids and groups, and mapping spaces of colimits
Factorization systems for symmetric cat-groups.
Feedback, trace and fixed-point semantics
We introduce a notion of category with feedback-with-delay, closely related to the notion of traced monoidal category, and show that the Circ construction of [15] is the free category with feedback on a symmetric monoidal category. Combining with the Int construction of Joyal et al. [12] we obtain a description of the free compact closed category on a symmetric monoidal category. We thus obtain a categorical analogue of the classical localization of a ring with respect to a multiplicative subset....
Feedback, trace and fixed-point semantics
We introduce a notion of category with feedback-with-delay, closely related to the notion of traced monoidal category, and show that the Circ construction of [15] is the free category with feedback on a symmetric monoidal category. Combining with the Int construction of Joyal et al. [12] we obtain a description of the free compact closed category on a symmetric monoidal category. We thus obtain a categorical analogue of the classical localization of a ring with respect to a multiplicative subset....
Finite sets and symmetric simplicial sets.