Results 21 to 30 of about 784,927 (243)
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.
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Multivalued function spaces and Atsuji spaces
Applied General Topology, 2003 In this paper we present two themes. The first one describes a transparent treatment of some of the recent results in graph topologies on multi-valued functions.
Som Naimpally
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Developable hyperspaces are metrizable
Applied General Topology, 2003 Developability of hyperspace topologies (locally finite, (bounded) Vietoris, Fell, respectively) on the nonempty closed sets is characterized. Submetrizability and having a Gδ-diagonal in the hyperspace setting is also discussed.
L'Ubica Holá +2 more
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Topological classification of function spaces with the Fell topology III
Topology and its Applications, 2015 For a Tychonoff space \(X\), let \(\downarrow C_F (X)\) denote the collection of the hypographs of all continuous maps from \(X\) to \([0, 1]\) with the Fell topology, \(Q \) is the Hilbert cube, \(\Sigma = \{(x_n) \in Q : \sup|x_n| < 1\}\) and \(c_0 = \{(x_n) \in \Sigma : \lim x_n = 0\}\).
Zhongqiang Yang +2 more
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A Classic Morita Equivalence Result for Fell Bundle C*-algebras [PDF]
, 2010 We show how to extend a classic Morita Equivalence Result of Green's to the \cs-algebras of Fell bundles over transitive groupoids. Specifically, we show that if $p:\B\to G$ is a saturated Fell bundle over a transitive groupoid $G$ with stability group ...
Ionescu, Marius, Williams, Dana P.
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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
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Twisted K-theory of differentiable stacks [PDF]
, 2004 In this paper, we develop twisted $K$-theory for stacks, where the twisted class is given by an $S^1$-gerbe over the stack. General properties, including the Mayer-Vietoris property, Bott periodicity, and the product structure $K^i_\alpha \otimes K^j_ ...
Laurent-Gengoux, Camille +2 more
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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
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Groupoid Fell bundles for product systems over quasi-lattice ordered groups [PDF]
, 2015 Consider a product system over the positive cone of a quasi-lattice ordered group. We construct a Fell bundle over an associated groupoid so that the cross-sectional algebra of the bundle is isomorphic to the Nica-Toeplitz algebra of the product system ...
Rennie, Adam +2 more
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Effective representations of the space of linear bounded operators
Applied General Topology, 2003 Representations of topological spaces by infinite sequences of symbols are used in computable analysis to describe computations in topological spaces with the help of Turing machines.
Vasco Brattka
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