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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Counterexamples on the rank of a manifold
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by Glen E. Bredon
Proc. Amer. Math. Soc. 27 (1971), 592-594
DOI: https://doi.org/10.1090/S0002-9939-1971-0270394-0
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Abstract:

For any given integer $r$ a closed manifold is constructed which has a smooth free action of the $r$-torus, and hence has rank at least $r$, but for which -1 is not a multiple root of the Poincaré polynomial.
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Bibliographic Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 27 (1971), 592-594
  • MSC: Primary 57.34
  • DOI: https://doi.org/10.1090/S0002-9939-1971-0270394-0
  • MathSciNet review: 0270394