Results 41 to 50 of about 579 (94)
The Alexandroff property and the preservation of strong uniform continuity
Applied General Topology, 2010 In this paper we extend the theory of strong uniform continuity and strong uniform convergence, developed in the setting of metric spaces in, to the uniform space setting, where again the notion of shields plays a key role.
Gerald Beer
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Boundary representations of locally compact hyperbolic groups
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract We develop the theory of Patterson–Sullivan measures for locally compact hyperbolic groups. This theory associates to certain left‐invariant metrics on the group measures on its boundary. Next, we establish irreducibility of the resulting (unitary) Koopman representations for second countable, nonelementary, unimodular locally compact ...
Michael Glasner
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A comparison of Hochschild homology in algebraic and smooth settings
Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1249-1269, April 2025.Abstract Consider a complex affine variety V∼$\tilde{V}$ and a real analytic Zariski‐dense submanifold V$V$ of V∼$\tilde{V}$. We compare modules over the ring O(V∼)$\mathcal {O} (\tilde{V})$ of regular functions on V∼$\tilde{V}$ with modules over the ring C∞(V)$C^\infty (V)$ of smooth complex valued functions on V$V$.
David Kazhdan, Maarten Solleveld
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Bornoligies, Topological Games and Function Spaces [PDF]
, 2014 In this paper, we continue the study of function spaces equipped with topologies of (strong) uniform convergence on bornologies initiated by Beer and Levi \cite{beer-levi:09}.
Artur, H. Tomita, Jiling Cao
core
Extensions and Applications of Locally Solid Convergence Structures
MathematicsLocally solid convergence structures provide a unifying framework for both topological and non-topological convergences in vector lattice theory. In this paper, we explore various extensions and applications of locally solid convergence structures.
Saeed Hashemi Sababe
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Set Convergences via Bornology
Set-Valued and Variational AnalysisThis paper examines the equivalence between various set convergences, as studied in [7, 13, 22], induced by an arbitrary bornology $\mathcal{S}$ on a metric space $(X,d)$. Specifically, it focuses on the upper parts of the following set convergences: convergence deduced through uniform convergence of distance functionals on $\mathcal{S}$ ($τ_{\mathcal ...
Agarwal, Yogesh, Jindal, Varun
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Functional boundedness of balleans
, 2019 We pose some open problems related to boundedness of real-valued functions on balleans and coarse spaces. Also we prove that the Bergman property of groups is a coarse invariant.
Banakh, Taras, Protasov, Igor
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A convenient setting for real analytic mappings
, 1989 We present here "the" cartesian closed theory for real analytic mappings. It is based on the concept of real analytic curves in locally convex vector spaces.
Andreas Kriegl +2 more
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Combable groups have group cohomology of polynomial growth
, 2018 Group cohomology of polynomial growth is defined for any finitely generated discrete group, using cochains that have polynomial growth with respect to the word length function.
Allcock +13 more
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Embeddings of Bornological Universes
Set-Valued Analysis, 2008 A bornological universe \(\left\langle X,\tau,\mathcal B\right\rangle\) is a topological space \(\left\langle X,\tau\right\rangle\) equipped with a bornology \(\mathcal B\), that is, a cover of \(X\) that is hereditary and is closed under finite unions. The author proves that the space \(X\) can be topologically and bornologically embedded in \(\mathbb{
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