Results 121 to 130 of about 1,191 (241)
Some surjectivity results for a class of multivalued maps and applications
Let X be a Banach space over k (R or $ℂ$) and let $F:X→ X$ be a multivalued upper semicontinuous (u.s.c.) map with acyclic values. In [MV] Martelli and Vignoli extended to multivalued maps F the definition of a quasinorm of F (notation $|F|$) given by ...
Conti, G., Carbone, A.
core +1 more source
Cancellation laws for surjective cardinals
For cardinal numbers x and y, write \(x\leq^*y\) if whenever \(| X| =x\) and \(| Y| =y\) there is a map from a subset of Y onto X, and write \(x=^*y\) for \(x\leq^*y\) and \(y\leq^*x\). The \(=^*\)-equivalence classes are called surjective cardinals. This paper contains a number of interesting results concerning surjective cardinals in ZF set theory ...
openaire +2 more sources
Infinity‐operadic foundations for embedding calculus
Abstract Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of ∞$\infty$‐categories of truncated right modules over a unital ∞$\infty$‐operad O$\mathcal {O}$. We study monoidality and naturality properties of this tower, identify its layers, describe the difference between the towers as O$\mathcal {O}$
Manuel Krannich, Alexander Kupers
wiley +1 more source
Surjectivity of coercive gradient operators in Hilbert space and nonlinear spectral theory
We consider continuous gradient operators F acting in a real Hilbert space H, and we study their surjectivity under the basic assumption that the corresponding functional 〈F(x), x〉-where 〈· 〉 is the scalar product in H-is coercive.
Chiappinelli R.
core +1 more source
Fractional elliptic obstacle systems with multivalued terms and nonlocal operators
In this paper, we introduce and study a fractional elliptic obstacle system, which is composed of two elliptic inclusions with fractional (pi, qi)-Laplace operators, nonlocal functions, and multivalued terms.
Jinxia Cen +2 more
doaj +1 more source
The pants graph of a free group
Abstract We introduce the concept of a pants decomposition for a finitely generated free group and construct the corresponding pants graph. A pants decomposition of a free group leads to the formation of a simplicial graph, referred to as the pants graph of a free group, consisting of all possible pants decompositions.
Donggyun Seo
wiley +1 more source
We are concerned with surjectivity of perturbations of maximal monotone operators in non-reflexive Banach spaces. While in a reflexive setting, a classical surjectivity result due to Rockafellar gives a necessary and sufficient condition to maximal ...
core
The quasi‐redirecting boundary
Abstract We generalize the notion of Gromov boundary to a larger class of metric spaces beyond Gromov hyperbolic spaces. Points in this boundary are classes of quasi‐geodesic rays and the space is equipped with a topology that is naturally invariant under quasi‐isometries.
Yulan Qing, Kasra Rafi
wiley +1 more source
SURJECTIVITY OF CONVOLUTION OPERATORS
In this article, we will explain the surjectivity of convolution operators on Euclidean spaces and on noncompact symmetric spaces. We will also give an application of our main result to PDE theory.
筧, 知之, Kakehi, Tomoyuki
core
Twisted ambidexterity in equivariant homotopy theory
Abstract We develop the concept of twisted ambidexterity in a parametrized presentably symmetric monoidal ∞$\infty$‐category, which generalizes the notion of ambidexterity by Hopkins and Lurie and the Wirthmüller isomorphisms in equivariant stable homotopy theory, and is closely related to Costenoble–Waner duality.
Bastiaan Cnossen
wiley +1 more source

