Results 221 to 230 of about 11,175 (238)

On the Fell topology

Set-Valued and Variational Analysis, 1993
The author characterizes the first and second countability of the Fell hypertopology in terms of the properties of the base space. He then compares the convergence in Fell topology to that in the Attouch-Wets topology. Applications are indicated. As with the author's other writings, the paper is pleasant to read.
Gerald Beer, Beer Gerald
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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.
Paolo Vitolo, Vitolo Paolo
exaly   +4 more sources

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
Ľubica Holá, R A Mccoy
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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
Stefan Hilger
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The hyperspace of the regions below continuous maps with the fell topology

Acta Mathematica Sinica, English Series, 2011
For a Tychonoff space \(X\) and \(\mathbf I=[0,1]\), \(\text{Cld}_F(X\times \mathbf I)\) stands for the hyperspace \(\text{Cld}(X\times \mathbf I)\) of all nonempty closed subsets of \(X\times \mathbf I\) endowed with the \textit{Fell topology} having as subbase sets of the form \(\{A\in \text{Cld}(X\times \mathbf I): A\cap U\neq\emptyset\}\), and ...
Yang, Zhong Qiang, Zhang, Bao Can
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Network Properties of Function Spaces Endowed with the Fell Hypograph Topology

Bulletin of the Iranian Mathematical Society, 2020
For a Tychonoff space \(X\) the author studies some network properties of the space \(C_{\downarrow F}(X)\) of continuous functions from \(X\) to \(\mathbb R\) endowed with the Fell hypograph topology, which is the subspace \(\{\{(x,y)\in X\times \mathbb R: y\le f(x)\}: f\in C(X)\}\) of the nonempty closed subsets of \(X\times \mathbb R\) endowed with ...
Wang Leijie
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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.
Ľubica Holá
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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!
Gerald Beer
openaire   +2 more sources