Abstract
In (1), (2), (3) and (4) it is shown that homological algebra (5) can be applied to stable homotopy-theory. In this application, we deal with A-modules, where A is the mod p Steenrod algebra. In the present paper, we shall prove a finiteness theorem for the cohomology of the Steenrod algebra. This theorem is stated as Corollary 2 below. It is purely algebraic, but it is not claimed that it has any algebraic interest; it is inspired solely by the application mentioned above. Here it has the following uses.
Publisher
Cambridge University Press (CUP)
Cited by
10 articles.
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1. Real motivic and C2‐equivariant Mahowald invariants;Journal of Topology;2021-03-18
2. Two-complete stable motivic stems over finite fields;Algebraic & Geometric Topology;2017-03-14
3. The η–inverted ℝ–motivic sphere;Algebraic & Geometric Topology;2016-11-07
4. The η-local motivic sphere;Journal of Pure and Applied Algebra;2015-10
5. The motivic Adams spectral sequence;Geometry & Topology;2010-03-31