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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 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Morse theory for codimension-one foliations
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by Steven C. Ferry and Arthur G. Wasserman PDF
Trans. Amer. Math. Soc. 298 (1986), 227-240 Request permission

Abstract:

It is shown that a smooth codimension-one foliation on a compact simply-connected manifold has a compact leaf if and only if every smooth real-valued function on the manifold has a cusp singularity.
References
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 298 (1986), 227-240
  • MSC: Primary 57R30; Secondary 57R45, 58C27
  • DOI: https://doi.org/10.1090/S0002-9947-1986-0857441-5
  • MathSciNet review: 857441