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Gross-Hopkins duality and the Gorenstein condition

Published online by Cambridge University Press:  24 September 2010

W. G. Dwyer ,
J. P. C. Greenlees  and
S. B. Iyengar
W. G. Dwyer
Affiliation:
Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556, [email protected]
J. P. C. Greenlees
Affiliation:
Department of Pure Mathematics, Hicks Building, Sheffield S3 7RH, [email protected]
S. B. Iyengar
Affiliation:
Department of Mathematics, University of Nebraska, Lincoln, NE 68588, [email protected]
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Abstract

Gross and Hopkins have proved that in chromatic stable homotopy, Spanier-Whitehead duality nearly coincides with Brown-Comenetz duality. We give a conceptual interpretation of this phenomenon in terms of a Gorenstein condition [8] for maps of ring spectra.

Keywords

Brown-Comenetz dualityGorenstein dualityGorenstein mapsGross–Hopkins dualityorientabilitySpanier-Whitehead duality
Type
Research Article
Information
Journal of K-Theory , Volume 8 , Issue 1 , August 2011 , pp. 107 - 133
Copyright
Copyright © ISOPP 2010

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