Results 41 to 50 of about 151,084 (121)

On metrizability of regular spaces

Topology and its Applications, 2019
We present a necessary and sufficient condition for metrizability of a regular space X covered by an open covering each of its elements is metrizable by the restriction of a single metric d on X .
M. A. Al Shumrani
semanticscholar   +1 more source

Quasibounded solutions to the complex Monge–Ampère equation

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract We study the Dirichlet problem for the complex Monge–Ampère operator on B‐regular domains in Cn$\mathbb {C}^n$, allowing boundary data that is singular or unbounded. We extend the concept of pluri‐quasibounded functions on the domain to functions on the boundary, defined by the existence of plurisuperharmonic majorants that dominate their ...
Mårten Nilsson
wiley   +1 more source

Simultaneous metrizability of coarse spaces

, 2011
A metric space can be naturally endowed with both a topology and a coarse structure. We examine the converse to this. Given a topology and a coarse structure we give necessary and sufficient conditions for the existence of a metric giving rise to both of
Wright, Nick
core   +1 more source

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

Graphical small cancellation and hyperfiniteness of boundary actions

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We study actions of (infinitely presented) graphical small cancellation groups on the Gromov boundaries of their coned‐off Cayley graphs. We show that a class of graphical small cancellation groups, including (infinitely presented) classical small cancellation groups, admit hyperfinite boundary actions, more precisely, the orbit equivalence ...
Chris Karpinski, Damian Osajda, Koichi Oyakawa   +2 more
wiley   +1 more source

Metrizable universal minimal flows of Polish groups have a comeagre orbit

, 2017
We prove that, whenever $G$ is a Polish group with metrizable universal minimal flow $M(G)$, there exists a comeagre orbit in $M(G)$. It then follows that there exists an extremely amenable, closed, coprecompact $G^*$ of $G$ such that $M(G) = \hat{G/G^*}$
Melleray, Julien, Tsankov, Todor, Yaacov, Itaï Ben   +2 more
core   +2 more sources

Metrization of probabilistic metric spaces. Applications to fixed point theory and Arzela-Ascoli type theorem

Topology and its Applications, 2021
This work is devoted to the metrization of probabilistic spaces. More precisely, given such a space $(G,D,\star)$ and provided that the triangle function $\star$ is continuous, we exhibit an explicit and canonical metric $\sigma_D$ on $G$ such that the associated topology is homeomorphic to the so-called strong topology.
Bachir, Mohammed, Bruno, Nazaret
openaire   +3 more sources

The Functional Delta Method for Deriving Asymptotic Distributions

WIREs Computational Statistics, Volume 18, Issue 1, March 2026.
The distribution of the scaled difference between the plug‐in estimator Tθ̂n$$ T\left({\hat{\boldsymbol{\theta}}}_n\right) $$ and the true parameter Tθ0$$ T\left({\boldsymbol{\theta}}_0\right) $$ is approximated by the distribution of the scaled difference between θ̂n$$ {\hat{\boldsymbol{\theta}}}_n $$ and θ0$$ {\boldsymbol{\theta}}_0 $$ and a ...
Eric Beutner
wiley   +1 more source

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

A characterisation of snowflakes via rectifiability

Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract We prove a generalisation to every metric space of Tyson–Wu's characterisation of metric spaces biLipschitz equivalent to snowflakes, by removing compactness, doubling and embeddability assumptions. We also characterise metric spaces that are biLipschitz equivalent to a snowflake in terms of the absence of non‐trivial metric 1‐currents in ...
Emanuele Caputo, Nicola Cavallucci
wiley   +1 more source