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Pairs of Compact Convex Sets

Fractional Arithmetic with Convex Sets

  • Book
  • © 2002

Overview

Authors:
  1. Diethard Pallaschke

    1. Institute for Statistics and Mathematical Economics, University of Karlsruhe, Karlsruhe, Germany

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    You can also search for this author in PubMed   Google Scholar

  2. Ryszard Urbański

    1. Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Poznań, Poland

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Mathematics and Its Applications (MAIA, volume 548)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xii
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  2. Convexity

    1. Front Matter

      Pages 1-1
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    2. Convex Sets and Sublinearity

      • Diethard Pallaschke, Ryszard Urbański
      Pages 3-10

    3. Topological Vector Spaces

      • Diethard Pallaschke, Ryszard Urbański
      Pages 11-22

    4. Compact Convex Sets

      • Diethard Pallaschke, Ryszard Urbański
      Pages 23-46

  3. Minimal Pairs

    1. Front Matter

      Pages 47-47
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    2. Minimal Pairs of Convex Sets

      • Diethard Pallaschke, Ryszard Urbański
      Pages 49-90

    3. The Cardinality of Minimal Pairs

      • Diethard Pallaschke, Ryszard Urbański
      Pages 91-126

    4. Minimality under Constraints

      • Diethard Pallaschke, Ryszard Urbański
      Pages 127-167

    5. Symmetries

      • Diethard Pallaschke, Ryszard Urbański
      Pages 169-181

    6. Decompositions

      • Diethard Pallaschke, Ryszard Urbański
      Pages 183-198

    7. Invariants

      • Diethard Pallaschke, Ryszard Urbański
      Pages 199-211

    8. Applications

      • Diethard Pallaschke, Ryszard Urbański
      Pages 213-235

  4. Semigroups

    1. Front Matter

      Pages 237-237
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    2. Fractions

      • Diethard Pallaschke, Ryszard Urbański
      Pages 239-254

    3. Piecewise Linear Functions

      • Diethard Pallaschke, Ryszard Urbański
      Pages 255-277

  5. Back Matter

    Pages 279-295
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Keywords

Authors and Affiliations

  • Institute for Statistics and Mathematical Economics, University of Karlsruhe, Karlsruhe, Germany

    Diethard Pallaschke

  • Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Poznań, Poland

    Ryszard Urbański

Bibliographic Information

  • Book Title: Pairs of Compact Convex Sets

  • Book Subtitle: Fractional Arithmetic with Convex Sets

  • Authors: Diethard Pallaschke, Ryszard Urbański

  • Series Title: Mathematics and Its Applications

  • DOI: https://doi.org/10.1007/978-94-015-9920-7

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 2002

  • Hardcover ISBN: 978-1-4020-0938-9Published: 31 October 2002

  • Softcover ISBN: 978-90-481-6149-2Published: 08 December 2010

  • eBook ISBN: 978-94-015-9920-7Published: 17 April 2013

  • Edition Number: 1

  • Number of Pages: XII, 295

  • Topics: Convex and Discrete Geometry, Optimization

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