Cartesian bicategories. II.
Categories, norms and weights.
Categories of functors between categories with partial morphisms
It is well-known that the composition of two functors between categories yields a functor again, whenever it exists. The same is true for functors which preserve in a certain sense the structure of symmetric monoidal categories. Considering small symmetric monoidal categories with an additional structure as objects and the structure preserving functors between them as morphisms one obtains different kinds of functor categories, which are even dt-symmetric categories.
Categorifications of the polynomial ring
We develop a diagrammatic categorification of the polynomial ring ℤ[x]. Our categorification satisfies a version of Bernstein-Gelfand-Gelfand reciprocity property with the indecomposable projective modules corresponding to xⁿ and standard modules to (x-1)ⁿ in the Grothendieck ring.
Categorified algebra and quantum mechanics.
Claspers and finite type invariants of links.
Classification of tensor products of symmetric graphs
In the category of symmetric graphs there are exactly five closed tensor products. If we omit the requirement of units, we obtain twelve more.
Coalgebras, braidings, and distributive laws.
Coherence of the double involution on -autonomous categories.
Cohomología 2-dimensional con coeficientes en grupos categoría.
Cohomology theory in 2-categories.
Complétion des catégories monoïdales fermées
Complétion des -catégories
Composing PROPs.
Constructing quantales and their modules from monoidal categories
Contravariant functors on finite sets and Stirling numbers.
Correction to my paper: “Tensor products in the category of convergence spaces” [Comment. Math. Univ. Carolin. 13 (1972), 693-709]
Corrigenda: ‘On systems of linear inequalities’
There are two mistakes in the referred paper. One is ridiculous and one is significant. But none is serious.
Cubical sets and their site.
Deformations of (bi)tensor categories