Results 41 to 50 of about 1,637,092 (305)
On the continuity of functors of the type C(X, Y)
Журнал Белорусского государственного университета: Математика, информатика, 2020 We consider the category P, the objects of which are pairs of topological spaces (X, Y). Each such pair (X, Y) is assigned the space of continuous maps Cτ(X, Y) with some topology τ.
Hleb O. Kukrak, Vladimir L. Timokhovich
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Coinduction functor in representation stability theory [PDF]
Journal of the London Mathematical Society, 2015 We study the coinduction functor on the category of FI‐modules and its variants. Using the coinduction functor, we give new proofs of (generalizations of) various results on homological properties of FI‐modules.
Wee Liang Gan, Liping Li
semanticscholar +1 more source
N-complexes as functors, amplitude cohomology and fusion rules [PDF]
, 2006 We consider N-complexes as functors over an appropriate linear category in order to show first that the Krull-Schmidt Theorem holds, then to prove that amplitude cohomology only vanishes on injective functors providing a well defined functor on the ...
A. Connes +20 more
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Fusion of interfaces in Landau-Ginzburg models: a functorial approach
Journal of High Energy Physics, 2021 We investigate the fusion of B-type interfaces in two-dimensional supersymmetric Landau-Ginzburg models. In particular, we propose to describe the fusion of an interface in terms of a fusion functor that acts on the category of modules of the underlying ...
Nicolas Behr, Stefan Fredenhagen
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Noncommutative Homological Mirror Functor [PDF]
Memoirs of the American Mathematical Society, 2015 We formulate a constructive theory of noncommutative Landau-Ginzburg models mirror to symplectic manifolds based on Lagrangian Floer theory. The construction comes with a natural functor from the Fukaya category to the category of matrix factorizations ...
Cheol-Hyun Cho +2 more
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Sheaves that fail to represent matrix rings [PDF]
, 2014 There are two fundamental obstructions to representing noncommutative rings via sheaves. First, there is no subcanonical coverage on the opposite of the category of rings that includes all covering families in the big Zariski site.
Reyes, Manuel L.
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Duality for powerset coalgebras [PDF]
Logical Methods in Computer Science, 2022 Let CABA be the category of complete and atomic boolean algebras and complete boolean homomorphisms, and let CSL be the category of complete meet-semilattices and complete meet-homomorphisms. We show that the forgetful functor from CABA to CSL has a left
Guram Bezhanishvili +2 more
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On the Casselman-Jacquet functor [PDF]
, 2019 We study the Casselman-Jacquet functor $J$, viewed as a functor from the (derived) category of $(\mathfrak{g},K)$-modules to the (derived) category of $(\mathfrak{g},N^-)$-modules, $N^-$ is the negative maximal unipotent.
Chen, Tsao-Hsien +2 more
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Axioms for retrodiction: achieving time-reversal symmetry with a prior [PDF]
Quantum, 2023 We propose a category-theoretic definition of retrodiction and use it to exhibit a time-reversal symmetry for all quantum channels. We do this by introducing retrodiction families and functors, which capture many intuitive properties that retrodiction ...
Arthur J. Parzygnat, Francesco Buscemi
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The Category of Matroids [PDF]
Applied Categorical Structures, 2015 The structure of the category of matroids and strong maps is investigated: it has coproducts and equalizers, but not products or coequalizers; there are functors from the categories of graphs and vector spaces, the latter being faithful and having a ...
C. Heunen, Vaia Patta
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