13 papers · ranked by Valyu relevance
C P Anil Kumar
We prove in this article the surjectivity of three maps. We prove in Theorem 1.6 the surjectivity of the Chinese remainder reduction map associated to the projective space of an ideal with a given factorization into ideals whose radicals are pairwise distinct maximal ideals. In Theorem 1.7 we prove the surjectivity of…
Marius Crainic, João Nuno Mestre
We present some features of the smooth structure and of the canonical stratification on the orbit space of a proper Lie groupoid. One of the main features is that of Morita invariance of these structures-it allows us to talk about the canonical structure of differentiable stratified space on the orbispace (an object…
Xuan Kien Phung
Let G be a group. Let X be an algebraic group over an algebraically closed field K. Denote by A = X(K) the set of rational points of X. We study algebraic group cellular automata τ : A G → A G whose local defining map is induced by a homomorphism of algebraic groups X M → X where M is a finite memory. When G is sofic…
Giuseppe Della Sala, Paulo D. Cordaro, Bernhard Lamel
Given a locally integrable structure ${\mathcal{V}}$ over a smooth manifold $\varOmega$ and given $p\in \varOmega$ we define the Borel map of ${\mathcal{V}}$ at*p as the map which assigns to the germ of a smooth solution of ${\mathcal{V}}$ at p its formal Taylor power series at p. In this work we continue the study…
N. Albuquerque
Lately the study of the linear structure of certain subsets of surjective functions in R R (such as everywhere surjective functions, perfectly everywhere surjective functions, or Jones functions) has attracted the attention of several authors working on Real Analysis and Set Theory (see, e.g. [1, 2, 4, 6, 7]). The…
Javier Jiménez-Garrido, Ignacio Miguel-Cantero, Javier Sanz, Gerhard Schindl
We prove several improved versions of the Borel-Ritt theorem about the surjectivity of the asymptotic Borel mapping in classes of functions with M-uniform asymptotic expansion on an unbounded sector of the Riemann surface of the logarithm. While in previous results the weight sequence M of positive numbers is supposed…
Riccardo Camerlo, Raphaël Carroy, Alberto Marcone
When a linear order has an order preserving surjection onto each of its suborders we say that it is strongly surjective. We prove that the set of countable strongly surjective linear orders is a Dˇ 2(Π1 1 )-complete set. Using hypotheses beyond ZFC, we prove the existence of uncountable strongly surjective orders.
Goulnara Arzhantseva, Światosław R. Gal
Let R be a class of groups closed under taking semidirect products with finite kernel and fully residually R–groups. We prove that R contains all R–by–{ finitely generated residually finite } groups. It follows that a semidirect product of a finitely generated residually finite group with a surjunctive group is…
Damián Gvirtz
Let f : X → Y be a proper, dominant morphism of smooth varieties over a number field k. When is it true that for almost all places v of k, the fibre XP over any point P ∈ Y (kv) contains a zero-cycle of degree 1? We develop a necessary and sufficient condition to answer this question.
M. Brešar, G. M. Escolano, A. Peralta, A. R. Villena
Let $A$ and $B$ be unital complex Banach algebras having no quotients isomorphic to $\mathbb{C}$ or $M_2(\mathbb{C})$. Assume additionally that $B$ is semisimple. If a surjective additive mapping $Φ\colon A\to B$ satisfies $[Φ(x^2),Φ(x)] = 0$ for all $x\in A$, then there exist a surjective direct sum of an additive…
Sean T. Vittadello, Michael P. H. Stumpf
In many scientific and technological contexts, we have only a poor understanding of the structure and details of appropriate mathematical models. We often, therefore, need to compare different models. With available data we can use formal statistical model selection to compare and contrast the ability of different…
Jan Paseka, Thomas Vetterlein
An orthoset is a non-empty set together with a symmetric and irreflexive binary relation $\perp$, called the orthogonality relation. An orthoset with 0 is an orthoset augmented with an additional element 0, called falsity, which is orthogonal to every element. The collection of subspaces of a Hilbert space that are…
Zhenghong Chen
Persistent homology, building its foundation on homology theory, has been successfully applied various fields containing computation of topology. Here, we derive and implement persistent homology theory to specefic topological spaces with G-invariant covering, whereby persistence over quotient space can be canonically…