2002/09/26 by David Chataur, D. Chataur, Chataur, D. +3
Mathematics · #18D50 #55-xx #55S10 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA) #math.AT #math.RA #msc:18D50 #msc:55-xx #msc:55S10
paper · pdf · doi:10.48550/arxiv.math/0209363
26 pages, LaTeX. Replacemnet of "operadic description of Steenrod operations". It is a new approach (more conceptual) of the results of the previous paper
openalex publication_date 2002/09/26 · arxiv created 2003/12/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we introduce Adem-Cartan operads and prove that the cohomology of any algebra over such an operad is an unstable level algebra over the extended Steenrod algebra. Moreover we prove that this cohomology is endowed with secondary cohomological operations.