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Topologies on Closed and Closed Convex Sets

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Topologies on Closed and Closed Convex Sets
  • Forlagets pris kr. 1.289,95
  • Leveringstid 5-9 hverdage
  • Forventet levering 02-08-2018
  • Bog, hardback (kr. 834,95) (kr. 834,95)
    1. Beskrivelse

      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 convergence on the one hand, and set functionals on the other. The text includes for the first time anywhere an exposition of three topologies that over the past ten years have become fundamental tools in optimization, one-sided analysis, convex analysis, and the theory of multifunctions: the Wijsman topology, the Attouch--Wets topology, and the slice topology. Particular attention is given to topologies on lower semicontinuous functions, especially lower semicontinuous convex functions, as associated with their epigraphs. The interplay between convex duality and topology is carefully considered and a chapter on set-valued functions is included. The book contains over 350 exercises and is suitable as a graduate text.

      This book is of interest to those working in general topology, set-valued analysis, geometric functional analysis, optimization, convex analysis and mathematical economics.

      Andre udgaver:

      Bog, hæftet

    2. Yderligere info
      Udgivelsesdato:
      01-10-1993
      Sprog:
      Engelsk
      ISBN13:
      9780792325314
      Sidetal:
      356
      Vægt:
      676 g
      Højde:
      21 mm
      Bredde:
      156 mm
      Længde:
      234 mm
      Forlag:
      Springer
      Mærkat:
      Bog, hardback
      Format:
      Hardback
    3. Anmeldelser

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