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Discontinuous symplectic capacities

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Abstract

We show that the spherical capacity is discontinuous on a smooth family of ellipsoidal shells. Moreover, we prove that the shell capacity is discontinuous on a family of open sets with smooth connected boundaries.

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Authors and Affiliations

  1. Mathematisches Institut, Universität zu Köln, Weyertal 86–90, D-50931, Köln, Germany

    Kai Zehmisch

  2. Wiskunde Gebouw, Universiteit Utrecht, Budapestlaan 6, 3584 CD, Utrecht, The Netherlands

    Fabian Ziltener

Authors
  1. Kai Zehmisch
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  2. Fabian Ziltener
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Correspondence to Kai Zehmisch.

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To Yvonne Choquet-Bruhat on her 90th birthday

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Zehmisch, K., Ziltener, F. Discontinuous symplectic capacities. J. Fixed Point Theory Appl. 14, 299–307 (2013). https://doi.org/10.1007/s11784-013-0148-x

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