On metrization of the hit-or-miss topology using Alexandroff compactification
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Publication:2481041
DOI10.1016/j.ijar.2006.12.007zbMath1146.54004OpenAlexW2029427648MaRDI QIDQ2481041
Publication date: 8 April 2008
Published in: International Journal of Approximate Reasoning (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ijar.2006.12.007
embeddingHausdorff metricmetrizationChoquet capacityAlexandroff compactificationhit-or-miss topologyhyperspace dynamicshyperspace Birkhoff ergodic theorem
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Cites Work
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- The structure of algebras of operator fields
- Dynamics: a probabilistic and geometric perspective
- A note on transitivity in set-valued discrete systems.
- When does the Fell topology on a hyperspace of closed sets coincide with the meet of the upper Kuratowski and the lower Vietoris topologies?
- Embedding of topological dynamical systems into symbolic dynamical systems: a necessary and sufficient condition
- Chaos for induced hyperspace maps
- Topological entropy for induced hyperspace maps
- Theory of capacities
- Hyperspaces of the Inverse Limit Space
- A Hausdorff Topology for the Closed Subsets of a Locally Compact Non-Hausdorff Space
- On the Convergence in Probability of Random Sets (Measurable Multifunctions)
- Hyperspaces of Peano continua are Hubert cubes
- Variational Analysis
- Random Sets: Models and Statistics
- An Introduction to Random Sets
- Theory of Random Sets
- On the Hyperspace of Subcontinua of the Pseudoarc
- On the hyperspace of subcontinua of a finite graph I
- Rétractes absolus et hyperespaces des continus
- Topologies on Spaces of Subsets
- Hyperspaces of a Continuum