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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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On compact cohomology theories and Pontrjagin duality
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by Keith Johnson PDF
Trans. Amer. Math. Soc. 279 (1983), 237-247 Request permission


Cohomology theories taking values in the category of topological groups are examined and a representation theorem is established for those whose coefficient groups are compact and locally euclidean. A method for constructing unstable homology operations is developed using this theorem, and application is made to the case of complex $K$-theory.
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 279 (1983), 237-247
  • MSC: Primary 55N20; Secondary 55N15, 55S25
  • DOI:
  • MathSciNet review: 704613