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Related papers: Approximate Hagemann-Mitschke co-operations

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We prove a finiteness theorem and a comparison theorem in the theory of \'etale cohomology of rigid analytic varieties. By a result of Huber, for a quasi-compact separated morphism of rigid analytic varieties with target being of dimension…

Algebraic Geometry · Mathematics 2021-06-01 Hiroki Kato

We develop the theory of categories of measurable fields of Hilbert spaces and bounded fields of bounded operators. We examine classes of functors and natural transformations with good measure theoretic properties, providing in the end a…

Category Theory · Mathematics 2007-05-23 D. N. Yetter

In this paper we develop a framework for multivariate functional approximation by a suitable Gaussian process via an exchangeable pairs coupling that satisfies a suitable approximate linear regression property, thereby building on work by…

Probability · Mathematics 2021-03-25 Christian Döbler , Mikołaj J. Kasprzak

In this paper, we give Maurer-Cartan characterizations as well as a cohomology theory for compatible Lie algebras. Explicitly, we first introduce the notion of a bidifferential graded Lie algebra and thus give Maurer-Cartan…

Mathematical Physics · Physics 2023-08-31 Jifeng Liu , Yunhe Sheng , Chengming Bai

The approximation properties of the Aldaz-Kounchev-Render (AKR) operators are discussed and classes of functions for which these operators approximate better than the classical Bernstein operators are described. The new results are then…

Numerical Analysis · Mathematics 2022-04-25 Ana Acu , Stefano De Marchi , Ioan Rasa

We construct a cohomology theory with compact support H^i_c(X_ar,Z(n))$ for separated schemes of finite type over a finite field, which should play a role analog to Lichtenbaum's Weil-etale cohomology groups for smooth and projective…

Number Theory · Mathematics 2007-05-23 Thomas H. Geisser

We consider several differential operators on compact almost-complex, almost-Hermitian and almost-K\"ahler manifolds. We discuss Hodge Theory for these operators and a possible cohomological interpretation. We compare the associated spaces…

Differential Geometry · Mathematics 2020-03-09 Nicoletta Tardini , Adriano Tomassini

In this paper we solve several problems concerning joint similarity to n-tuples of operators in noncommutative varieties in $[B(\cH)^n]_1$ associated with positive regular free holomorphic functions in $n$ noncommuting variables and with…

Functional Analysis · Mathematics 2014-02-26 Gelu Popescu

We introduce a generalization of semistandard composition tableaux called permuted composition tableaux. These tableaux are intimately related to permuted basement semistandard augmented fillings studied by Haglund, Mason and Remmel. Our…

Combinatorics · Mathematics 2018-09-20 Vasu Tewari , Stephanie van Willigenburg

Recently, Mursaleen et al applied (p,q)-calculus in approximation theory and introduced (p,q)-analogue of Bernstein operators in [16]. In this paper, we construct and introduce a generalization of the bivariate Bleimann-Butzer-Hahn…

Classical Analysis and ODEs · Mathematics 2015-06-09 M. Mursaleen , Md. Nasiruzzaman

We study $\mathcal{O}$-operators of associative conformal algebras with respect to conformal bimodules. As natural generalizations of $\mathcal{O}$-operators and dendriform conformal algebras, we introduce the notions of twisted Rota-Baxter…

Rings and Algebras · Mathematics 2022-07-13 Lamei Yuan

We present the concept of cotorsion pairs cut along subcategories of an abelian category. This provides a generalization of complete cotorsion pairs, and represents a general framework to find approximations restricted to certain…

Category Theory · Mathematics 2022-08-02 Mindy Huerta , Octavio Mendoza , Marco A. Pérez

Noncommutative near-group fusion categories were completely classified in the previous work of the first named author by using an operator algebraic method (and hence under the assumption of unitarity), and they were shown to be group…

Category Theory · Mathematics 2021-07-14 Masaki Izumi , Henry Tucker

We introduce a class of real algebraic varieties characterised by a simple rationality condition, which exhibit strong properties regarding approximation of continuous and smooth mappings by regular ones. They form a natural counterpart to…

Algebraic Geometry · Mathematics 2024-12-31 Juliusz Banecki

Fulton and MacPherson introduced the notion of bivariant theories and Grothendieck transformations related to Riemann-Roch-theorems. But there are many situations, where such a bivariant theory or a corresponding Grothendieck transformation…

Algebraic Geometry · Mathematics 2007-05-23 Joerg Schuermann

We define a generalization of Massey products for algebras over a Koszul operad in characteristic zero, extending Massey's and Allday's and Retah's in the associative and Lie cases, respectively. We establish connections with minimal models…

Algebraic Topology · Mathematics 2023-03-06 Fernando Muro

We introduce the notion of star-symmetry for relations in a multi-pointed category and use it to obtain a characterization of the projective covers of 2-star-permutable categories. This generalizes the results of Rosick\'y-Vitale for…

Category Theory · Mathematics 2019-10-31 Vasileios Aravantinos-Sotiropoulos

Recently, Chach\'olski, Neeman, Pitsch, and Scherer studied, in a series of three papers, model approximations for the unbounded category of cochain complexes over a commutative ring. These approximations allow to construct relative…

K-Theory and Homology · Mathematics 2015-03-31 Simone Virili

To a pair $(A,s)$ consisting of a smooth, cyclic $A_\infty$-algebra $A$ and a splitting $s$ of the Hodge filtration on its Hochschild homology Costello (2005) associates an invariant which conjecturally generalizes the total descendant…

Symplectic Geometry · Mathematics 2025-03-12 Andrei Caldararu , Junwu Tu

We define $H$-Galois extensions for $k$-linear categories and a Hopf algebra $H$ and prove the existence of a Grothendieck spectral sequence for Hochschild-Mitchell cohomology, related to this situation. This spectral sequence is…

K-Theory and Homology · Mathematics 2007-05-23 Estanislao Herscovich , Andrea Solotar