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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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An index for periodic orbits of local semidynamical systems
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by Christian C. Fenske
Trans. Amer. Math. Soc. 350 (1998), 4973-4991
DOI: https://doi.org/10.1090/S0002-9947-98-02114-X

Abstract:

We define an index of Fuller type counting the number of periodic orbits of a semiflow on an ANR by a suitable approximation process.
References
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Bibliographic Information
  • Christian C. Fenske
  • Affiliation: Mathematisches Institut der Justus-Liebig, Universität Arndtstrasse, 2 D-35392 Giessen, Germany
  • Email: christian.fenske@math.uni-giessen.d400.de
  • Received by editor(s): November 20, 1995
  • Received by editor(s) in revised form: November 19, 1996
  • © Copyright 1998 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 350 (1998), 4973-4991
  • MSC (1991): Primary 54H20; Secondary 58F25, 58F32, 55M25
  • DOI: https://doi.org/10.1090/S0002-9947-98-02114-X
  • MathSciNet review: 1458322