Results 61 to 70 of about 15,159 (191)

Dual spaces of geodesic currents

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract Every geodesic current on a hyperbolic surface has an associated dual space. If the current is a lamination, this dual embeds isometrically into a real tree. We show that, in general, the dual space is a Gromov hyperbolic metric tree‐graded space, and express its Gromov hyperbolicity constant in terms of the geodesic current.
Luca De Rosa, Dídac Martínez‐Granado
wiley   +1 more source

Diagonals of strongly separately continuous functions

Pracì Mìžnarodnogo Geometričnogo Centru
We study the diagonals g(x)=f(x,...,x) of strongly separately continuous mappings f:Xn→Z, that is, mappings which for a fixed value of one variable are jointly continuous with respect to the others variables.
Volodymyr Mykhaylyuk, Olena Fotiy
doaj   +1 more source

Average‐Case Matrix Discrepancy: Satisfiability Bounds

Random Structures &Algorithms, Volume 67, Issue 3, October 2025.
ABSTRACT Given a sequence of d×d$$ d\times d $$ symmetric matrices {Wi}i=1n$$ {\left\{{\mathbf{W}}_i\right\}}_{i=1}^n $$, and a margin Δ>0$$ \Delta >0 $$, we investigate whether it is possible to find signs (ε1,…,εn)∈{±1}n$$ \left({\varepsilon}_1,\dots, {\varepsilon}_n\right)\in {\left\{\pm 1\right\}}^n $$ such that the operator norm of the signed sum ...
Antoine Maillard
wiley   +1 more source

Metrizability of Topology, Precompactness and Semi-Compatibal Mappings in Neutrosophic Metric Spaces [PDF]

Neutrosophic Sets and Systems
In this manuscript, we discuss the metrizability of the topology produced by arbitrary neutrosophic metric space. Further, we demonstrate that the resulting topology is completely metrizable if the neutrosophic metric space is complete and a neutrosophic
Khaleel Ahmad, Umar Ishtiaq
doaj   +1 more source

First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet

Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1523-1608, September 2025.
Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley   +1 more source

Completions of rationals

Le Matematiche, 1994
Spaces which are metrizable completions of the space Q of rationals are described. A characterization of metrizable spaces having the same family of metrizable completions as Q is deduced.
Janusz J. Charatonik, Alfonso Villani
doaj  

The relations between separately and jointly proprities of multi-valued mappings (in Ukrainian) [PDF]

Математичні Студії, 2011
We prove the following statement. Let $X$ be a topological space, $Y$ a topological $T_1$ first-countable space,$Z$ a metrizable locally compact $sigma$-compact space and $Fcolon Ximes Y o Z$ a close-valued separately continuous mapping.
V. K. Maslyuchenko, V. V. Mykhaylyuk, O. G. Fotiy   +2 more
doaj  

Fuzzy quasi-metric spaces

Applied General Topology, 2004
We generalize the notions of fuzzy metric by Kramosil and Michalek, and by George and Veeramani to the quasi-metric setting.We show that every quasi-metric induces a fuzzy quasi-metric and ,conversely, every fuzzy quasi-metric space generates a quasi ...
Valentín Gregori, Salvador Romaguera
doaj   +1 more source

Deformations of Anosov subgroups: Limit cones and growth indicators

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract Let G$G$ be a connected semisimple real algebraic group. We prove that limit cones vary continuously under deformations of Anosov subgroups of G$G$ under a certain convexity assumption, which turns out to be necessary. We apply this result to the notion of sharpness for the action of a discrete subgroup on a non‐Riemannian homogeneous space ...
Subhadip Dey, Hee Oh
wiley   +1 more source

Matrix transformations and convex spaces

International Journal of Mathematics and Mathematical Sciences, 1988
In a Hausdorff topological linear space we examine relations between r-convexity and a condition on matrix transformations between null sequences. In particular, for metrizable spaces the condition implies r-convexity.
I. J. Maddox
doaj   +1 more source