3 papers
math.AT2025
Small Value of cohomological dimension of group homomorphisms
Nursultan Kuanyshov
We give the characterisation of cohomological dimension of group homomorphisms. In particular, we show the analogue of the Stallings-Swan theorem in the case of group epimorphisms.
math.AT2024
On the sequential topological complexity of group homomorphisms
Nursultan Kuanyshov
We define and develop a homotopy invariant notion for the sequential topological complexity of a map denoted , that interacts with and $TC_{r}(Y)…
math.AT2023
On the LS-category of homomorphism of almost nilpotent groups
Nursultan Kuanyshov
We prove the equality $\cat(ϕ)=\cd(ϕ)$ for epimorphisms between torsion-free, finitely generated almost nilpotent groups and . In addition, we prove the equality…