Generalized Long–Moody functors
A Soulié - Algebraic & Geometric Topology, 2022 - msp.org
… In Section 5, we consider the effect of Long–Moody functors on strong and weak … section,
we choose the functor which will play the role of that parameter introduced in the next section. …
we choose the functor which will play the role of that parameter introduced in the next section. …
Sheaves and functors of points
M Vaquie - New Spaces in Mathematics: Volume 1: Formal and …, 2021 - books.google.com
… representability of the natural functor in algebraic geometry. In the third section we will show
how … , and we want to generalize this construction to any functor between categories c and P …
how … , and we want to generalize this construction to any functor between categories c and P …
Exact DG-categories and fully faithful triangulated inclusion functors
L Positselski - arXiv preprint arXiv:2110.08237, 2021 - arxiv.org
… -coresolving subcategory induces fully faithful functors between the absolute derived and …
induced triangulated functor is a triangulated equivalence. This is the material of our Section 7. …
induced triangulated functor is a triangulated equivalence. This is the material of our Section 7. …
The Commutant and Center of a Generalized Green Functor
S Cruz Cabello - Applied Categorical Structures, 2024 - Springer
… study monoids (generalized Green functors) over it. For one of these generalized Green
functors, we define … In this section we define the center of a Green functor A, to be another Green …
functors, we define … In this section we define the center of a Green functor A, to be another Green …
[PDF][PDF] Simple Section Biset Functors
O Coşkun, R Muslumov - arXiv preprint arXiv:2104.04257, 2021 - arxiv.org
… simple modules over Green biset functors. The aim of this paper is to solve the classification
problem for the functor of section Burnside rings. Section Burnside rings are introduced by …
problem for the functor of section Burnside rings. Section Burnside rings are introduced by …
Generalised 6j symbols over the category of -graded vector spaces
F Lischka - arXiv preprint arXiv:2409.09055, 2024 - arxiv.org
… This approach has been generalized to oriented closed 3… Our main result is the description
of module functors in terms of … Our aim in this section is to state this fact more precisely. …
of module functors in terms of … Our aim in this section is to state this fact more precisely. …
GADTs are not (Even partial) functors
P Cagne, E Ghiorzi, P Johann - Mathematical Structures in …, 2024 - cambridge.org
… an IAS interpretation of GADTs as functors on Set. Further, we … the word “generalized” in the
moniker “generalized algebraic … In this section, we show that, by contrast with the situation for …
moniker “generalized algebraic … In this section, we show that, by contrast with the situation for …
Normed Fiber Functors
P Ziegler - arXiv preprint arXiv:2203.17073, 2022 - arxiv.org
… We generalize this to a notion of splittability for norms on a fiber functor which plays a key …
Finally, in Section 4, we use our results on normed fiber functors to give in Theorem 4.16 our …
Finally, in Section 4, we use our results on normed fiber functors to give in Theorem 4.16 our …
On continuity of accessible functors
G Tendas - Applied Categorical Structures, 2022 - Springer
… new adjoint functor theorem specific to the \(\alpha \)-accessible functors out of \({\mathcal
{K}}\). Afterwards we generalize these results … We can now prove the main result of this section: …
{K}}\). Afterwards we generalize these results … We can now prove the main result of this section: …
Homology of strict polynomial functors over Fp-linear additive categories
A Djament, A Touzé - arXiv preprint arXiv:2407.10502, 2024 - arxiv.org
… Secondly, as we recall it in section 2.2, we allow our strict polynomial functors to have
infinite… In order to generalize the result of corollary 5.6 to more general functors π and ρ, we will …
infinite… In order to generalize the result of corollary 5.6 to more general functors π and ρ, we will …