Kähler Differentials, the 𝑇-functor, and a Theorem of Steinberg

Dwyer, W.; Wilkerson, C.

doi:10.1090/S0002-9947-98-02373-3

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.

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