V. Rozhdestvenskii

collaborators

3 papers

math.GT2025

Domination of manifolds by hypersurfaces

Vasilii Rozhdestvenskii

In this short note we prove that any smooth, closed, oriented manifold can be dominated by a codimension 1 submanifold of the sphere.

math.AT2025

Highly divisible cycles in homological Atiyah-Hirzebruch spectral sequences

Vasilii Rozhdestvenskii

Let $F_{*}$ be a homology theory of finite type and ${E_{s, t}^{r} (X) = \frac{Z _{s, t}^{r} ( X )}{B _{s, t}^{r} ( X )}; d_{s, t}^{r}}$ denote the Atiyah-Hirzebruch spectral sequence for $F_{*}$ of a $C W$ …

math.AT2023

A lower bound in the problem of realization of cycles

Vasilii Rozhdestvenskii

We consider the classical Steenrod problem on realization of integral homology classes by continuous images of smooth oriented manifolds. Let $k (n)$ be the smallest positive intege…