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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On compact cohomology theories and Pontrjagin duality


Author: Keith Johnson
Journal: Trans. Amer. Math. Soc. 279 (1983), 237-247
MSC: Primary 55N20; Secondary 55N15, 55S25
MathSciNet review: 704613
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Abstract: 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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DOI: http://dx.doi.org/10.1090/S0002-9947-1983-0704613-3
PII: S 0002-9947(1983)0704613-3
Article copyright: © Copyright 1983 American Mathematical Society