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Topologies on Closed and Closed Convex Sets Book

Topologies on Closed and Closed Convex Sets
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Topologies on Closed and Closed Convex Sets, This monograph provides an introduction to the theory of topologies defined on the closed subsets of a metric space, and on the closed convex subsets of a normed linear space as well. A unifying theme is the relationship between topology and set convergen, Topologies on Closed and Closed Convex Sets
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  • Topologies on Closed and Closed Convex Sets
  • Written by author Beer, Gerald
  • Published by Springer-Verlag New York, LLC, 12/9/2010
  • This monograph provides an introduction to the theory of topologies defined on the closed subsets of a metric space, and on the closed convex subsets of a normed linear space as well. A unifying theme is the relationship between topology and set convergen
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Preface. 1. Preliminaries. 2. Weak Topologies determined by Distance Functionals. 3. The Attouch—Wets and Hausdorff Metric Topologies. 4. Gap and Excess Functionals and Weak Topologies. 5. The Fell Topology and Kuratowski—Painlevé Convergence. 6. Multifunctions - the Rudiments. 7. The Attouch—Wets Topology for Convex Functions. 8. The Slice Topology for Convex Functions. Notes and References. Bibliography. Symbols and Notation. Subject Index.


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Topologies on Closed and Closed Convex Sets, This monograph provides an introduction to the theory of topologies defined on the closed subsets of a metric space, and on the closed convex subsets of a normed linear space as well. A unifying theme is the relationship between topology and set convergen, Topologies on Closed and Closed Convex Sets

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Topologies on Closed and Closed Convex Sets, This monograph provides an introduction to the theory of topologies defined on the closed subsets of a metric space, and on the closed convex subsets of a normed linear space as well. A unifying theme is the relationship between topology and set convergen, Topologies on Closed and Closed Convex Sets

Topologies on Closed and Closed Convex Sets

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Topologies on Closed and Closed Convex Sets, This monograph provides an introduction to the theory of topologies defined on the closed subsets of a metric space, and on the closed convex subsets of a normed linear space as well. A unifying theme is the relationship between topology and set convergen, Topologies on Closed and Closed Convex Sets

Topologies on Closed and Closed Convex Sets

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