On the LS-category of homomorphisms of groups with torsion
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866917699863445504 |
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| author | Kuanyshov, Nursultan |
| author_facet | Kuanyshov, Nursultan |
| contents | We prove the equality $\cat(ϕ)=\cd(ϕ)$ for homomorphisms $ϕ:Γ\to Λ$ between finitely generated abelian groups $Γ$ and $Λ$, where $ϕ(T(Γ))=0$ for the torsion subgroups $T(Γ)$ of $Γ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_10998 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the LS-category of homomorphisms of groups with torsion Kuanyshov, Nursultan Algebraic Topology Primary 55M30, Secondary 20J06, 20K45, 20K30, 20K10 We prove the equality $\cat(ϕ)=\cd(ϕ)$ for homomorphisms $ϕ:Γ\to Λ$ between finitely generated abelian groups $Γ$ and $Λ$, where $ϕ(T(Γ))=0$ for the torsion subgroups $T(Γ)$ of $Γ$. |
| title | On the LS-category of homomorphisms of groups with torsion |
| topic | Algebraic Topology Primary 55M30, Secondary 20J06, 20K45, 20K30, 20K10 |
| url | https://arxiv.org/abs/2302.10998 |