An effective proof of the Cartan formula: odd primes

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 explicitly construct a natural coboundary descending to this relation in cohomology

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Publication Details

Journal
Homology Homotopy and Applications
Published
2025-01-01
DOI
https://doi.org/10.4310/hha.2025.v27.n1.a12
Primary Topic
Mathematics and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

An effective proof of the Cartan formula: odd primes

Anibal M. Medina-Mardones, Federico Cantero-Morán
Homology Homotopy and Applications
Mathematics and Applications
article

An effective proof of the Cartan formula: odd primes

Anibal M. Medina-Mardones, Federico Cantero-Morán
article en

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 explicitly construct a natural coboundary descending to this relation in cohomology

Homology Homotopy and ApplicationsVol. 27(1)
Western University (CA), Institute of Mathematical Sciences (ES), Universidad Autónoma de Madrid (ES)
Openalex Percentile: Top 90%
Mathematics and Applications
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