Categorical resolutions

Components of Agreement between Categorical Maps at Multiple Resolutions

17.

Categorical Affine Braid Group Action on Springer Resolutions

Operational Resolutions and State Transi- Tions in a Categorical Setting

The core of the mathematical development in this paper consists of lifting the — categorically — equivalent descriptions of physical systems by a (i) ‘state space’ or a (ii) ‘property lattice’ — see [14,20,25,26] — to an asymmetrical — i.e., not anymore isomorphic — duality on the level of: (i) ‘possible state’ transitions — ‘possible’ in the sense that an arbitrary initial state is mapped onto...

O ct 2 01 4 Derived sections and categorical resolutions in homotopical context

In (non-commutative) geometry, a categorical resolution of a (potentially singular) variety X is a full and faithful embedding of its derived category D(X) into a smooth and proper triangulated category T [11, 12]. The notion generalises the situation of rational singularities, where the geometric resolution functor F : X̃ → X induces the full and faithful functor F ∗ : D(X) → D(X̃) to the smooth...

Categorical Logic Categorical Logic