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An effective proof of the Cartan formula: Odd primes (2305.08973v1)

Published 15 May 2023 in math.AT

Abstract: The Cartan formula relates the cup product and the action of the Steenrod algebra on mod~$p$ cohomology. For any pair of mod $p$ cocycles in a simplicial set, where $p$ is an odd prime, we effectively construct a natural coboundary descending to this formula in cohomology.

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