Results 31 to 40 of about 96,536 (270)
Comparison theorems for Kan, faintly universal and strongly universal derived functors [PDF]
Surveys in Mathematics and its Applications, 2022 We distinguish between faint, weak, strong and strict localizations of categories at morphism families and show that this framework captures the different types of derived functors that are considered in the literature.
Alisa Govzmann +2 more
doaj
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
core +6 more sources
Probability measure monad on the category of ultrametric spaces
Applied General Topology, 2008 The set of all probability measures with compact support on an ultrametric space can be endowed with a natural ultrametric. We show that the functor of probability measures with finite supports (respectively compact supports) forms a monad in the ...
O.B. Hubal, M.M. Zarichnyi
doaj +1 more source
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
core +2 more sources
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
doaj +1 more source
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
doaj +1 more source
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.
core +1 more source
Adjoint relations for the category of local dcpos [PDF]
Categories and General Algebraic Structures with Applications, 2017 In this paper, we consider the forgetful functor from the category {bf LDcpo} of local dcpos (respectively, {bf Dcpo} of dcpos) to the category {bf Pos} of posets (respectively, {bf LDcpo} of local dcpos), and study the existence of its left and right ...
Bin Zhao, Jing Lu, Kaiyun Wang
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Inclusion hyperspaces and capacities on Tychonoff spaces: functors and monads [PDF]
, 2010 The inclusion hyperspace functor, the capacity functor and monads for these functors have been extended from the category of compact Hausdorff spaces to the category of Tychonoff spaces.
Banakh +15 more
core +2 more sources
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
doaj +1 more source