On the LS-category of homomorphisms of groups with torsion

Autor:	Kuanyshov, Nursultan
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Topology Primary 55M30 Secondary 20J06 20K45 20K30 20K10
Druh dokumentu:	Working Paper
Popis:	We prove the equality $\cat(\phi)=\cd(\phi)$ for homomorphisms $\phi:\Gamma\to \Lambda$ between finitely generated abelian groups $\Gamma$ and $\Lambda$, where $\phi(T(\Gamma))=0$ for the torsion subgroups $T(\Gamma)$ of $\Gamma$. Comment: 8 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2302.10998 Zobrazit plný text záznamu View this record from Arxiv