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Mathematics and Its Applications

Continuous Selections of Multivalued Mappings

Authors: Repovs, Dusan, Semenov, P.V.

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  • ISBN 978-94-017-1162-3
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Hardcover $219.99
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Softcover $219.99
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About this book

This book is dedicated to the theory of continuous selections of multi­ valued mappings, a classical area of mathematics (as far as the formulation of its fundamental problems and methods of solutions are concerned) as well as !'J-n area which has been intensively developing in recent decades and has found various applications in general topology, theory of absolute retracts and infinite-dimensional manifolds, geometric topology, fixed-point theory, functional and convex analysis, game theory, mathematical economics, and other branches of modern mathematics. The fundamental results in this the­ ory were laid down in the mid 1950's by E. Michael. The book consists of (relatively independent) three parts - Part A: Theory, Part B: Results, and Part C: Applications. (We shall refer to these parts simply by their names). The target audience for the first part are students of mathematics (in their senior year or in their first year of graduate school) who wish to get familiar with the foundations of this theory. The goal of the second part is to give a comprehensive survey of the existing results on continuous selections of multivalued mappings. It is intended for specialists in this area as well as for those who have mastered the material of the first part of the book. In the third part we present important examples of applications of continuous selections. We have chosen examples which are sufficiently interesting and have played in some sense key role in the corresponding areas of mathematics.

Table of contents (21 chapters)

  • Preliminaries

    Repovš, Dušan (et al.)

    Pages 5-32

  • Convex-Valued Selection Theorem

    Repovš, Dušan (et al.)

    Pages 33-53

  • Zero-Dimensional Selection Theorem

    Repovš, Dušan (et al.)

    Pages 54-59

  • Relations Between Zero-Dimensional and Convex-Valued Selection Theorems

    Repovš, Dušan (et al.)

    Pages 60-74

  • Compact-Valued Selection Theorem

    Repovš, Dušan (et al.)

    Pages 75-83

Buy this book

eBook $169.00
price for USA in USD (gross)
  • ISBN 978-94-017-1162-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $219.99
price for USA in USD
  • ISBN 978-0-7923-5277-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $219.99
price for USA in USD
  • ISBN 978-90-481-5111-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Continuous Selections of Multivalued Mappings
Authors
Series Title
Mathematics and Its Applications
Series Volume
455
Copyright
1998
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-017-1162-3
DOI
10.1007/978-94-017-1162-3
Hardcover ISBN
978-0-7923-5277-8
Softcover ISBN
978-90-481-5111-0
Edition Number
1
Number of Pages
VIII, 359
Topics