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We classify manifolds of small dimension that admit both, a Riemannian metric of non-negative scalar curvature, and a -- a priori different -- metric for which all wedge products of harmonic forms are harmonic. For manifolds whose first…

微分几何 · 数学 2019-10-09 D. Kotschick

Gamma-ray emitting binaries (GREBs) are complex systems. Its study became in the last years a major endeavour for the high-energy astrophysics community, both from an observational and a theoretical perspective. Whereas the accumulation of…

高能天体物理现象 · 物理学 2019-02-27 Josep Maria Paredes , Pol Bordas

Let $k$ be a field. We characterize the group schemes $G$ over $k$, not necessarily affine, such that $\mathsf{D}_{\mathrm{qc}}(B_kG)$ is compactly generated. We also describe the algebraic stacks that have finite cohomological dimension in…

代数几何 · 数学 2016-09-08 Jack Hall , David Rydh

The aim of this paper is two-fold. First, the study of $C_{12}$-structure (called by us corner structure) is extended to the general case without any condition, unlike our previous papers (see, \cite{BB, BG2, BG, BBB}). Second, starting…

微分几何 · 数学 2023-07-31 Beldjilali Gherici

We give a construction of a convex set $A \subset \mathbb R$ with cardinality $n$ such that $A-A$ contains a convex subset with cardinality $\Omega (n^2)$. We also consider the following variant of this problem: given a convex set $A$, what…

组合数学 · 数学 2023-09-15 Krishnendu Bhowmick , Ben Lund , Oliver Roche-Newton

We provide two examples which show that for an affine semigroup ring the set of Cohen-Macaulay classes can be larger than the set of conic classes.

交换代数 · 数学 2007-05-23 Cornel Baetica

We are following [4]. Nevertheless we are interested only in claryfication that the lamplighter group can be realized as a 2--states Mealy machine.

群论 · 数学 2022-02-10 Jānis Buls

In this short note we construct two families of examples of large stratifying systems in module categories of algebras. The first examples consists on stratifying systems of infinite size in the module category of an algebra $A$. In the…

表示论 · 数学 2022-06-22 Hipolito Treffinger

We prove that every many-sorted $\omega$-categorical theory is completely interpretable in a one-sorted $\omega$-categorical theory. As an application, we give a short proof of the existence of non $G$--compact $\omega$-categorical…

逻辑 · 数学 2011-03-21 Enrique Casanovas , Rodrigo Peláez , Martin Ziegler

We show that factorization systems, both strict and orthogonal, can be equivalently described as double categories satisfying certain properties. This provides conceptual reasons for why the category of sets and partial maps or the category…

范畴论 · 数学 2023-06-13 Miloslav Štěpán

We prove some nice properties of anti-homomorphisms, some of which are analogic to that of homomorphisms. Meanwhile, we develop a new kind of composition called $*$-composition such that the $*$-composition of two anti-homomorphisms is…

范畴论 · 数学 2023-03-16 Tianwei Liang

The supersymmetric Poisson Sigma model is studied as a possible worldsheet realization of generalized complex geometry. Generalized complex structures alone do not guarantee non-manifest N=(2,1) or N=(2,2) supersymmetry, but a certain…

高能物理 - 理论 · 物理学 2009-11-10 L. Bergamin

Maximally embedding dimension (MED) numerical semigroups are a wide and interesting family, with some remarkable algebraic and combinatorial properties. Associated to any numerical semigroup one can construct a MED closure, as it is well…

组合数学 · 数学 2025-01-22 Jorge Jiménez Urroz , José M. Tornero

For several instances of metric largeness like enlargeability or having hyperspherical universal covers, we construct non-large vector subspaces in the rational homology of finitely generated groups. The functorial properties of this…

几何拓扑 · 数学 2014-02-26 Michael Brunnbauer , Bernhard Hanke

The aim of this paper is to introduce and study graded and filtered gamma rings and gamma modules. We prove that the filtered $\Gamma$-ring (module) is a generalization of the notion of graded ring (module). Also, we construct a graded…

环与代数 · 数学 2022-11-02 Shadi Shaqaqha , Afnan Dagher

Recall that in a laminar family, any two sets are either disjoint or contained one in the other. Here, a parametrized weakening of this condition is introduced. Let us say that a set system $\mathcal{F} \subseteq 2^X$ is $t$-laminar if $A,B…

组合数学 · 数学 2014-06-13 Peter Dukes

Let $a$ be a non-invertible transformation of a finite set and let $G$ be a group of permutations on that same set. Then $\genset{G, a}\setminus G$ is a subsemigroup, consisting of all non-invertible transformations, in the semigroup…

群论 · 数学 2009-11-04 Joao Araujo , J. D. Mitchell , Csaba Schneider

We discuss examples of systems which can be quantized consistently, although they do not admit a Lagrangian description.

高能物理 - 理论 · 物理学 2008-11-26 Ciprian Acatrinei

In this paper, we continue studying the properties of $\gamma$-semi-continuous and $\gamma$-semi-open functions introduced in [5].

一般拓扑 · 数学 2011-03-17 Sabir Hussain

An infinite binary sequence is Bennett deep if, for any computable time bound, the difference between the time-bounded prefix-free Kolmogorov complexity and the prefix-free Kolmogorov complexity of its initial segments is eventually…

逻辑 · 数学 2024-09-04 Ang Li