La suspension homologue pour les CW-complexes quotients d'actions libres de ((Z/2)ⁿ

2023/12/26 by Nguyen, Dang Ho Hai, Schwartz, Lionel
#55P35 #55P40 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2312.16299

Abstract

This note shows that the n-th homology suspension is surjective for certain quotients of finite ((Z/2)ⁿ-CW.complexes. This is true as soon as the equivariant ((Z/2)ⁿ-cohomology are quotients is a free H^*((Z/2)ⁿ-module. An application is given to certain Brown-Gitler spectrum.

Related

• Suspension spectra and higher stabilization
• Cancellation for (G,n)-complexes and the Swan finiteness obstruction
• The equivariant parametrized h-cobordism theorem, the non-manifold part
• Examples of finite free complexes of small rank and small homology
• Iterated suspensions are coalgebras over the little disks operad