Kähler Differentials, the $T$-functor, and a Theorem of Steinberg
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- by W. G. Dwyer and C. W. Wilkerson PDF
- Trans. Amer. Math. Soc. 350 (1998), 4919-4930 Request permission
Abstract:
Let $T$ 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 $T$ preserves polynomial algebras. This leads to new and relatively simple proofs of some topological and algebraic theorems.References
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Additional Information
- W. G. Dwyer
- Affiliation: Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556
- MR Author ID: 61120
- Email: dwyer.1@nd.edu
- C. W. Wilkerson
- Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
- Email: wilker@math.purdue.edu
- Received by editor(s): August 1, 1996
- Additional Notes: The authors were supported in part by the National Science Foundation
- © Copyright 1998 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 350 (1998), 4919-4930
- MSC (1991): Primary 55N99, 13D99
- DOI: https://doi.org/10.1090/S0002-9947-98-02373-3
- MathSciNet review: 1621741