Results 31 to 40 of about 181 (133)
Bornological structures on many-valued sets
, 2017 We introduce an approach to the concept of bornology in the framework of many-valued mathematical structures and develop the basics of the theory of many-valued bornological spaces and initiate the study of the category of many-valued bornological spaces
Alexander Šostak +3 more
core +1 more source
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
doaj +1 more source
Product metrics and boundedness
Applied General Topology, 2008 This paper looks at some possible ways of equipping a countable product of unbounded metric spaces with a metric that acknowledges the boundedness characteristics of the factors.
Gerald Beer
doaj +1 more source
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
wiley +1 more source
Bornological aspects of asymmetric structures
, 2021 A thesis submitted in fulfilment of the requirements for the degree of of Doctor of Philosophy (Mathematics) to the Faculty of Science, School of Mathematics, University of the Witwatersrand, Johannesburg, 2021Over the last decades much progress has been
Mukonda, Danny
core
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
wiley +1 more source
Bornologies and bitopological function spaces
, 2013 The aim of this paper is to study certain closure-type properties of function spaces over metric spaces endowed with two topologies: the topology of uniform convergence on a bornology and the topology of strong uniform convergence on a bornology.
Ozcag, SELMA
core +1 more source
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
doaj +1 more source
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{
openaire +3 more sources
A memo on bornologies and size functions
, 2022 We recall the notion of abstract bornology, and connect it with topological spaces and size functions. As a generalization of measures of non-compactness, we show how every size function can be mapped to a maxitive measure.Comment: 5 ...
Poncet, Paul
core