Results 21 to 30 of about 11,175 (238)
Fell continuous selections and topologically well‐orderable spaces [PDF]
Mathematika, 2004 Given a topological space \(X\), let \(F(X)\) denote the hyperspace of nonempty closed subsets of \(X\). In this paper, \(F(X)\) is considered with the Fell Topology \(FT\). A map \(f\) from \(F(X)\) into \(X\) is a \(FT\)-continuous selection, provided that \(f\) is continuous with the topology \(FT\) and \(f(A)\) belongs to \(A\) for each \(A\) in ...
Gutev, V., Nogura, T.
openaire +2 more sources
Applied General Topology, 2003 Recently it was shown that, in a metric space, the upper Wijsman convergence can be topologized with the introduction of a new far-miss topology. The resulting Wijsman topology is a mixture of the ball topology and the proximal ball topology.
Giuseppe Di Maio +2 more
doaj +1 more source
Graph topologies on closed multifunctions
Applied General Topology, 2003 In this paper we study function space topologies on closed multifunctions, i.e. closed relations on X x Y using various hypertopologies. The hypertopologies are in essence, graph topologies i.e topologies on functions considered as graphs which are ...
Giuseppe Di Maio +2 more
doaj +1 more source
MORPHOLOGICAL SAMPLING OF CLOSED SETS
Image Analysis and Stereology, 2011 We briefiy survey the standard morphological approach (Heijmans, 1994) to the sampling (or discretization) of sets. Then we summarize the main results of our metric theory of sampling (Ronse and Tajine, 2000; 2001; 2002; Tajine and Ronse, 2002), which ...
Christian Ronse, Mohamed Tajine
doaj +1 more source
The Hamming Distance and the Fell Topology on AF Algebras
, 2023 We introduce a new metric on the ideal space of an AF algebra that metrizes the Fell topology. The novelty of this metric lies in the use of a Hamming distance type metric in its construction. Furthermore, this metric captures more of the ideal structure of AF algebras in comparison to known metrics on the Fell topology of an AF algebra.
Aguilar, Konrad, Batterman, Zoë X.
openaire +2 more sources
Integration of Digital Twin Technology and Industry 4.0 Principles for Real-Time Structural Health Monitoring in Smart Manufacturing Facilities [PDF]
International Journal of Industrial Engineering and ManagementWithin Industry 4.0 manufacturing environments, Structural Health Monitoring (SHM) is recognized as mission-critical; nevertheless, extant Digital Twin (DT) implementations seldom achieve deep fusion with the production layer and consequently struggle to
Salim Davlatov +7 more
doaj +1 more source
An embedding theorem for the Fell topology.
Michigan Mathematical Journal, 1988 Let X be a metric space, and let CL(X) be the set of all nonempty closed subsets of X. It is known that, when the metric d on X is bounded, \(E\mapsto d(\cdot,E)\) defines an embedding of CL(X) with the Hausdorff metric topology into the space of bounded continuous real-valued functions on X with the topology of uniform convergence.
openaire +2 more sources
The Spaces of Closed Convex Sets in Euclidean Spaces with the Fell Topology [PDF]
Bulletin of the Polish Academy of Sciences Mathematics, 2007 Let ConvF (R) be the space of all non-empty closed convex sets in Euclidean space R endowed with the Fell topology. In this paper, we prove that ConvF (R) ≈ R × Q for every n > 1 whereas ConvF (R) ≈ R× I. Let Conv(X) be the set of all non-empty closed convex sets in a normed linear space X = (X, ‖·‖). We can consider various topologies on Conv(X).
Katsuro Sakai, Zhongqiang Yang
openaire +1 more source
An embedding in the Fell topology
Topology and its Applications, 2015 It is shown that if a $T_2$ topological space contains an uncountable closed discrete set, then $ω_1 \times (ω_1 + 1)$ embeds as a closed subspace of $(CL(X),τ_F)$, the hyperspace of nonempty closed subsets of $X$ equipped with the Fell topology.
openaire +3 more sources
Baire category properties of function spaces with the Fell hypograph topology [PDF]
Topology and its Applications, 2019 For a Tychonoff space $X$ and a subspace $Y\subset\mathbb R$, we study Baire category properties of the space $C_{\downarrow F}(X,Y)$ of continuous functions from $X$ to $Y$, endowed with the Fell hypograph topology. We characterize pairs $X,Y$ for which the function space $C_{\downarrow F}(X,Y)$ is $\infty$-meager, meager, Baire, Choquet, strong ...
Wang, Leijie, Banakh, Taras
openaire +3 more sources