Results 81 to 90 of about 93,496 (268)
Geometric constant term functor(s) [PDF]
We study the Eisenstein series and constant term functors in the framework of geometric theory of automorphic functions. Our main result says that for a parabolic $$P\subset G$$P⊂G with Levi quotient M, the !-constant term functor $$\begin{aligned}{\text
V. Drinfeld, D. Gaitsgory
semanticscholar +1 more source
A completion functor for Cauchy groups
A completion functor is constructed on the category of completely normal Cauchy groups and Cauchy-continuous homomorphisms. A competion functor is also obtained for a corresponding category of convergence groups.
R. Fric, D. C. Kent
doaj +1 more source
Weak Homomorphisms of Coalgebras Beyond Set
We study the notion of weak homomorphisms between coalgebras of different types generalizing thereby that of homomorphisms for similarly typed coalgebras. This helps extend some results known so far in the theory of Universal coalgebra over Set.
Kianpi Maurice
doaj +1 more source
We define, for each quasisyntomic ring R (in the sense of Bhatt et al., Publ. Math. IHES 129 (2019), 199–310), a category $\mathrm {DM}^{\mathrm {adm}}(R)$ of admissible prismatic Dieudonné crystals over R and a functor from p-divisible groups ...
Johannes Anschütz+1 more
doaj +1 more source
Neat embeddings as adjoint situations
We view the neat reduct operator as a functor that lessens dimensions from CA_{\alpha+\omega} to CA_{\alpha} for infinite ordinals \alpha. We show that this functor has no right adjoint. Conversely for polyadic algebras, and several reducts thereof, like
Ahmed, Tarek Sayed
core +1 more source
Moduli of finite flat torsors over nodal curves
Abstract We show that log flat torsors over a family X/S$X/S$ of nodal curves under a finite flat commutative group scheme G/S$G/S$ are classified by maps from the Cartier dual of G$G$ to the log Jacobian of X$X$. We deduce that fppf torsors on the smooth fiberss of X/S$X/S$ can be extended to global log flat torsors under some regularity hypotheses.
Sara Mehidi, Thibault Poiret
wiley +1 more source
AbstractWe give a common generalization of two earlier constructions in [H.P. Gumm, T. Schröder, Monoid-labeled transition systems, Electronic Notes in Theoretical Computer Science 44 (1) (2001) 184–203], that yielded coalgebraic type functors for weighted, resp. fuzzy transition systems.
openaire +2 more sources
Adjoint relations for the category of local dcpos [PDF]
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
doaj
A Category Theoretic Interpretation of Gandy's Principles for Mechanisms [PDF]
Based on Gandy's principles for models of computation we give category-theoretic axioms describing locally deterministic updates to finite objects. Rather than fixing a particular category of states, we describe what properties such a category should ...
Joseph Razavi, Andrea Schalk
doaj +1 more source
We study the functor l^2 from the category of partial injections to the category of Hilbert spaces. The former category is finitely accessible, and its homsets are algebraic domains; the latter category has conditionally algebraic domains for homsets.
openaire +4 more sources