Results 31 to 40 of about 1,774 (96)

Continuous selections of multivalued mappings

, 2014
This survey covers in our opinion the most important results in the theory of continuous selections of multivalued mappings (approximately) from 2002 through 2012.
A. Askoy, A. Brown, A. Fryszkowski, A. Karassev, A. Kisielewicz, A. L. Brown, A. Smajdor, B. Alleche, Ch. Horvath, Ch. Horvath, D. Repovš, D. Repovš, D. Repovš, D. Repovš, D. Repovš, D. Repovš, D. Repovš, D. Repovš, D. Repovš, E. A. Michael, E. A. Michael, E. A. Michael, E. A. Michael, E. A. Michael, E. A. Michael, E. A. Michael, E. A. Michael, E. A. Michael, E. Livshits, E. Shchepin, E. Tymchatyn, F. Blasi, F. Blasi, F. Blasi, F. Deutsch, F. Levy, G. Ivanov, G. Ivanov, G. Mägerl, H. Ben-El-Mechaiekh, H. Corson, H. Wicke, I. Blum, I. Ivanšić, I. Shishkov, I. Shishkov, I. Shishkov, I. Shishkov, J. J. Sánchez-Gabites, J. Markin, J. Markin, J. Mill, J. Vial, K. Ryutin, K. Ryutin, M. Balashov, M. Balashov, M. Balashov, M. Balashov, M. Choban, M. Choban, M. Choban, M. Khamsi, M. Vel, M. Zarichnyi, M. Zippin, N. Brodsky, N. Makala, P. Saveliev, P. Semenov, P. V. Semenov, R. Bielawski, S. Konyagin, S. Nedev, T. Banakh, T. Dobrowolski, T. Dobrowolski, T. Przymusinski, T. Yamauchi, T. Yamauchi, T. Yamauchi, T. Yamauchi, V. G. Gutev, V. G. Gutev, V. G. Gutev, V. G. Gutev, V. G. Gutev, V. Gorokhovik, V. Gutev, V. Gutev, V. Gutev, V. Gutev, V. Gutev, V. Gutev, V. Protasov, V. V. Fillipov, V. V. Fillipov, V. V. Fillipov, V. V. Uspenskii, X. Ding, X. Wu   +100 more
core   +1 more source

Continuity of additive 𝜅-metric functions and metrization of 𝜅-metric spaces [PDF]

Proceedings of the American Mathematical Society, 1988
For an additive κ \kappa -metric space X X with an s ( x ) s\left ( x \right ) -continuous κ \kappa -metric d ( x , C ) d\left ( {x ...
openaire   +2 more sources

Metrization of the Gromov–Hausdorff (-Prokhorov) topology for boundedly-compact metric spaces [PDF]

Stochastic Processes and their Applications, 2020
In this work, a metric is presented on the set of boundedly-compact pointed metric spaces that generates the Gromov-Hausdorff topology. A similar metric is defined for measured metric spaces that generates the Gromov-Hausdorff-Prokhorov topology. This extends previous works which consider only length spaces or discrete metric spaces.
openaire   +3 more sources

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

Metrization criteria for compact groups in terms of their dense subgroups

, 2011
According to Comfort, Raczkowski and Trigos-Arrieta, a dense subgroup D of a compact abelian group G determines G if the restriction homomorphism G^ --> D^ of the dual groups is a topological isomorphism.
Dikranjan, Dikran, Shakhmatov, Dmitri
core   +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

Convexity and quasi-uniformizability of closed preordered spaces

, 2013
In many applications it is important to establish if a given topological preordered space has a topology and a preorder which can be recovered from the set of continuous isotone functions.
Minguzzi, E.
core   +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

The Bi-Compact-Open Topology on C(X)

, 2016
For the set C(X) of real-valued continuous functions on a Tychonoff space X, the compact-open topology on C(X) is a "set-open topology". This paper studies the separation and countability properties of the space C(X) having the topology given by the join
Jindal, Anubha, Kundu, S., McCoy, R. A.
core   +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