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Continuous Selections of Multivalued Mappings

by Dusan Repovs

  • ISBN: 9780792352778
  • ISBN10: 0792352777

Continuous Selections of Multivalued Mappings

by Dusan Repovs

  • List Price: $279.00
  • Binding: Hardcover
  • Publisher: Kluwer Academic Pub
  • Publish date: 11/01/1998
  • ISBN: 9780792352778
  • ISBN10: 0792352777
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Description: This book is the first systematic and comprehensive study of the theory of continuous selections of multivalued mappings. This interesting branch of modern topology was introduced by E.A. Michael in the 1950s and has since witnessed an intensive development with various applications outside topology, e.g. in geometry of Banach spaces, manifolds theory, convex sets, fixed points theory, differential inclusions, optimal control, approximation theory, and mathematical economics. The work can be used in different ways: the first part is an exposition of the basic theory, with details. The second part is a comprehensive survey of the main results. Lastly, the third part collects various kinds of applications of the theory. Audience: This volume will be of interest to graduate students and research mathematicians whose work involves general topology, convex sets and related geometric topics, functional analysis, global analysis, analysis on manifolds, manifolds and cell complexes, and mathematical economics.
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