Vitalij A. Chatyrko

activity

20232025

collaborators

4 papers

math.RA2025

Simple polynomial equations over $(2 \times 2)$ -matrices

Vitalij A. Chatyrko, Alexandre Karassev

We consider the polynomial equation $X^{n} + a_{n - 1} \cdot X^{n - 1} + \dots + a_{1} \cdot X + a_{0} \cdot I = O,$ over $(2 \times 2)$ -matrices $X$ with the real entries, where $I$ is the…

math.GN2024

From homogeneity to discrete homogeneity

Vitalij A. Chatyrko, Alexandre Karassev

This is a survey of recent and classical results concerning various types of homogeneity, such as n-homogeneity, discrete homogeneity, and countable dense homogeneity. Some new res…

math.GN2023

On $σ$ -compact Hattori spaces

Vitalij Chatyrko

We present several characterizations of $σ$ -compact Hattori spaces, and reject some possible characterization candidates of the spaces.

math.GN2023

On $π$ -compatible topologies and their special cases

Vitalij A. Chatyrko

Topologies $τ, σ$ on a set $X$ are called $π$ -compatible if $τ$ is a $π$ -network for $σ$ , and vice versa. If topologies $τ, σ$ on a set $X$ are $π$ -compatible then the families of…

Simple polynomial equations over (2×2)-matrices

From homogeneity to discrete homogeneity

On σ-compact Hattori spaces

On π-compatible topologies and their special cases

Simple polynomial equations over $(2 \times 2)$ -matrices

On $σ$ -compact Hattori spaces

On $π$ -compatible topologies and their special cases