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arXiv · 2305.08973

An effective proof of the Cartan formula: Odd primes

Federico Cantero-Morán·Anibal Medina-Mardones
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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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Federico Cantero-Morán, Anibal Medina-Mardones. 2023-05-15. An effective proof of the Cartan formula: Odd primes. https://arxiv.org/abs/2305.08973

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