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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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Stable homotopy theory is not self-dual
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by J. M. Boardman
Proc. Amer. Math. Soc. 26 (1970), 369-370
DOI: https://doi.org/10.1090/S0002-9939-1970-0268887-4
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Abstract:

The classical Spanier-Whitehead duality for finite complexes shows that the finite stable homotopy category is selfdual. We prove that in the larger stable categories, duality is not consistent with the standard arguments of homotopy theory.
References
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Bibliographic Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 26 (1970), 369-370
  • MSC: Primary 55.40
  • DOI: https://doi.org/10.1090/S0002-9939-1970-0268887-4
  • MathSciNet review: 0268887