Stable homotopy theory is not self-dual
Author:
J. M. Boardman
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
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Abstract | References | Similar Articles | Additional Information
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.
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J. M. Boardman, Stable homotopy theory, University of Warwick, November 1965 (mimeograph).
- E. H. Spanier, Duality and ${\rm S}$-theory, Bull. Amer. Math. Soc. 62 (1956), 194–203. MR 85506, DOI https://doi.org/10.1090/S0002-9904-1956-10014-1
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Additional Information
Keywords:
Stable homotopy,
Spanier-Whitehead duality,
finite spectrum,
infinite sum,
infinite product
Article copyright:
© Copyright 1970
American Mathematical Society