On the LS-category of homomorphisms

2022/03/07 by Dranishnikov, Alexander, Kuanyshov, Nursultan
#55M30 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2203.03734

Abstract

We prove the equality \cat(ϕ)=\cd(ϕ) for homomorphisms ϕ:Γ→ Λ of a torsion free finitely generated nilpotent groups Γ to an arbitrary group Λ. We construct an epimorphism ψ:G→ H between geometrically finite groups with \cat(ψ)> \cd(ψ).

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