Results 211 to 220 of about 784,927 (243)

The Fell Topology on C(X)

Annals of the New York Academy of Sciences, 1992
The space C(X, Y) of continuous functions from a topological space X to a Hausdorff space Y can be thought of as a subset of the hyperspace of closed subsets of X × Y by identifying each element of C(X, Y) with its graph. A study is made of C(X, Y) with the topology inherited by the Fell topology on hyperspaces. The emphasis is on real‐valued functions
L̆BICA HOLÁ, R. A. MCCOY
openaire   +2 more sources

Convergence of time scales under the Fell topology

Journal of Difference Equations and Applications, 2009
In this paper, we will examine various topologies on hyperspaces, and in particular those which are most useful in the context of time scales. After demonstrating that the Fell topology is the most appropriate, we will review several theorems about convergence in hyperspaces of Hausdorff metric spaces under the Fell topology. We will then prove related
Esty, Norah, Hilger, Stefan
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Fell topology on the hyperspace of a non-Hausdorff space

Ricerche di Matematica, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
HOU JI CHENG, VITOLO, Paolo
openaire   +3 more sources

The Fell Topology and Kuratowski-Painlevé Convergence

1993
One of the most important and well-studied hit-and-miss hyperspace topologies on CL(X) is the Fell topology, where the compact subsets of the underlying space play the role of miss sets. This hyperspace topology when extended to 2 X in the natural way has a remarkable property: it is always compact, independent of the character of the underlying space!
G. Beer
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Fell topology on the space of functions with closed graph

Rendiconti del Circolo Matematico di Palermo, 1999
This paper studies the Fell topology on the space \(G(X,Y)\) of all functions from \(X\) into \(Y\) that have closed graphs. The topology on this space is compared to other topologies, including the compact-open topology and those of Kuratowski convergence and continuous convergence.
Holá, Ľ., Poppe, H.
openaire   +3 more sources

Fell topologies for AF-algebras and the quantum propinquity

Journal of Operator Theory, 2019
We introduce a topology on the ideal space of any C∗-inductive limit built by an inverse limit of topologies and produce conditions for when this topology agrees with the Fell topology. With this topology, we impart criteria for when convergence of ideals of an AF-algebra can provide convergence of quotients in the quantum Gromov--Hausdorff propinquity
Konrad Aguilar
openaire   +2 more sources

From weak to strong interactions: structural and electron topology analysis of the continuum from the supramolecular chalcogen bonding to covalent bonds.

Physical Chemistry, Chemical Physics - PCCP, 2022
The relationship between covalent and supramolecular bonding, and the criteria of the assignments of different interactions were explored via the review of selenium and tellurium containing structures in the Cambridge Structural Database and their ...
Daniel K. Miller, I. Chernyshov, Y. Torubaev, S. Rosokha   +3 more
semanticscholar   +1 more source

Symmetry for algebras associated to Fell bundles over groups and groupoids

Journal of operator theory, 2021
To every Fell bundle $\mathscr C$ over a locally compact group ${\sf G}$ one associates a Banach $^*$-algebra $L^1({\sf G}\,\vert\,\mathscr C)$. We prove that it is symmetric whenever ${\sf G}$ with the discrete topology is rigidly symmetric.
Felipe Flores, M. Măntoiu
semanticscholar   +1 more source

Classification of saturated Fell bundles: The discrete case and beyond

Journal of Noncommutative Geometry
We present a classification framework for saturated Fell bundles over groups, utilizing data associated with their base group and unit fiber. This framework provides a unified perspective on the structure and properties of such bundles and yields key ...
Natã Machado, Stefan Wagner
semanticscholar   +1 more source

Exceptional topology of non-Hermitian systems

Reviews of Modern Physics, 2021
Emil J Bergholtz, Jan Carl Budich, Flore K Kunst   +2 more
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