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The Poincare Paradox and the Cluster Problem

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Trees and Hierarchical Structures

Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 84))

Abstract

The motivation behind this paper is to put together two streams of ideas — Poincaré’s perception of the physical continuum and the problem to give a characterization of similarity relations in terms of clusters. As the reader will see below both streams encompass the question of finding characteristics of non-transitive systems.

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References

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Author information

Authors and Affiliations

  1. Fachbereich Mathematik, Bergische Universität Wuppertal, Postfach 1000127, D-5600, Wuppertal 1, West Germany

    Ulrich Höhle

Authors
  1. Ulrich Höhle
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Editor information

Editors and Affiliations

  1. Fakultät für Mathematik, Universität Bielefeld, Postfach 86 40, 4800, Bielefeld, Germany

    Andreas Dress

  2. Department of Mathematics DRB 306, University of Southern California, University Park MC 1113, 90089-1113, Los Angeles, CA, USA

    Arndt von Haeseler

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© 1990 Springer-Verlag Berlin Heidelberg

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Höhle, U. (1990). The Poincare Paradox and the Cluster Problem. In: Dress, A., von Haeseler, A. (eds) Trees and Hierarchical Structures. Lecture Notes in Biomathematics, vol 84. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-10619-8_8

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  • DOI: https://doi.org/10.1007/978-3-662-10619-8_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52453-3

  • Online ISBN: 978-3-662-10619-8

  • eBook Packages: Springer Book Archive

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