论文标题
关于同态的LS类别
On the LS-category of homomorphisms
论文作者
论文摘要
我们证明了同构的均等$ \ cat（ϕ）= \ cd（ϕ）$ $ ϕ：γ\ to torsion torsion free free Fireplity firitalibalentibal ofitible firstalent ofitible farity nilpotent ofter $γ$ $γ$ to to nutary oftary goult $λ$。我们在具有$ \ cat（ψ）> \ cd（ψ）$的几何有限群之间构建了表达$ψ：g \ to h $。
We prove the equality $\cat(ϕ)=\cd(ϕ)$ for homomorphisms $ϕ:Γ\to Λ$ of a torsion free finitely generated nilpotent groups $Γ$ to an arbitrary group $Λ$. We construct an epimorphism $ψ:G\to H$ between geometrically finite groups with $\cat(ψ)> \cd(ψ)$.
