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Kähler Differentials, the  -functor, and a Theorem of Steinberg
Author(s):
W.
G.
Dwyer;
C.
W.
Wilkerson
Journal:
Trans. Amer. Math. Soc.
350
(1998),
4919-4930.
MSC (1991):
Primary 55N99, 13D99
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Abstract:
Let  be the functor on the category of unstable algebras over the Steenrod algebra constructed by Lannes. We use an argument involving Kähler differentials to show that  preserves polynomial algebras. This leads to new and relatively simple proofs of some topological and algebraic theorems.
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Additional Information:
W.
G.
Dwyer
Affiliation:
Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556
Email:
dwyer.1@nd.edu
C.
W.
Wilkerson
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
Email:
wilker@math.purdue.edu
DOI:
10.1090/S0002-9947-98-02373-3
PII:
S 0002-9947(98)02373-3
Received by editor(s):
August 1, 1996
Additional Notes:
The authors were supported in part by the National Science Foundation
Copyright of article:
Copyright
1998,
American Mathematical Society
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