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Calcul des variations dans les espaces distanciés généraux

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Selecta Mathematica

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Résumé

Nous appelions espace à distances réelles un ensemble A tel qu’à tout couple ordonné d’éléments (depoints)de A corresponde un nombred(p, q) assujetti à la seule condition d(p,p) = o. L’espace A est dit triangulaire au point plorsque pour tout couple de pointsq, r de A on ad(p,q) + d(q,r)Sd(p,r).

Sténce du I6 mars 1936.

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Authors
  1. M. Karl Menger
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  2. M. Élie Cartan
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Statistics, University of Massachusetts, Lederle Graduate Research Center, Amherst, MA, USA

    Bert Schweizer

  2. Department of Mathematics, Illinois Institute of Technology, Chicago, IL, USA

    Abe Sklar

  3. Institute of Mathematics, University of Vienna, Austria

    Karl Sigmund  & Leopold Schmetterer  & 

  4. Institute of Analysis and Technical Mathematics, Technical University, Vienna, Austria

    Peter Gruber  & Edmund Hlawka  & 

  5. Institute of Mathematics, University of Graz, Austria

    Ludwig Reich

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© 2002 Springer-Verlag Wien

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Menger, M.K., Cartan, M.É. (2002). Calcul des variations dans les espaces distanciés généraux. In: Schweizer, B., et al. Selecta Mathematica. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6110-4_25

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  • DOI: https://doi.org/10.1007/978-3-7091-6110-4_25

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  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-7282-7

  • Online ISBN: 978-3-7091-6110-4

  • eBook Packages: Springer Book Archive

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