Develop a new theory for an effective description of exact functors
in order to prove some related conjectures.
Among his topics are the categorification of quantum groups, the tensor product of algebras, braiding functors
, and rigidity structures.
and data now first class citizens'
Here let us explain the abstract machine's operations through Guattari's four functors
In fact, there is a categorical equivalence between the partial actions of a group G on sets and the star injective functors
from groupoids to the group G, considered as a groupoid with a single object .
The above interpolation functor
is an extension of the interpolation functor
given in Marcinkiewicz real interpolation functor
and the interpolation functors
in [6,7] for the studies of Lorentz-Karamata spaces and Orlicz spaces, respectively.
Initially sheaves, presheaves and functors
were thought as purely mathematical objects.
In a standard way, every poset can be considered as a category, and monotone mappings between posets can be considered as functors
AM10] Marcelo Aguiar and Swapneel Mahajan, Monoidal functors
, species and Hopf algebras, CRM Monograph Series, vol.
The deontic modalities themselves are proposed as values of the argument of action, thus "determining the meaning of the normative functors
with respect to the other (normative) functors
But the incorporation in (5), also might be said to "respect valency", in so far as verbs normally take functors
as complements, and among them locatives.
In 1942-45, Samuel Eilenberg (2) and Saunders Mac Lane introduced categories, functors
, and natural transformations as part of their work in topology, especially algebraic topology (see also (1), (5)).