R. Buzyakova

activity

20122025

most citedThree Questions on Special Homeomorphisms on Subgroups of

R

and

R^{\infty}

1 citations · 2 across the 13 of their papers we have counts for

collaborators

19 papers

math.GN2025

Better Subtopologies

Alexander Arhangel'skii, Raushan Buzyakova

We study conditions under which a space that has a good property and a courser topology with another good property admits a continuous bijection onto a space with both properties.

math.GN2024

On Topological Groups of Automorphisms

Raushan Buzyakova

We study spaces $X$ for which the space $H o m_{p} (X)$ of automorphisms with the topology of point-wise convergence is a topological group. We identify large classes of spaces $X$ for…

math.GN2023

On Topological Groups of Automorphisms on Unions

Raushan Buzyakova

We study groups of homeomorphic bijections on spaces that are finite unions of compact connected linearly ordered subsets. We prove that all such groups when endowed with the topol…

math.GN2022

On Topological Groups of Monotonic Autohomeomorphisms

Raushan Buzyakova

We study topological groups of monotonic autohomeomorphisms on a generalized ordered space $L$ . We find a condition that is necessary and sufficient for the set of all monotonic au…

math.GN2021

On Homeomorphisms of Function Spaces Over Products with Compacta

Raushan Buzyakova

We show that if $C_{p} (X \times Z)$ is homeomorphic to $C_{p} (Y \times Z)$ , where $Z$ is compact, and $X$ and $Y$ are of countable netweight, then $C_{p} (X \times M)$ is homeomorphic to $C_…

math.GN2020

Function Spaces over Products with Ordinals

Raushan Buzyakova

We are concerned with the question of when a homeomorphism between $C_{p} (X \times τ)$ and $C_{p} (Y \times τ)$ implies the existence of a homeomorphism between $C_{p} (X \times τ^{'})$ and $C_p…